Оптические, термодинамические и кинетические свойства веществ в двухтемпературном состоянии

Краткое описание раздела…

Теплопроводность металлов в двухтемпературном состоянии
Оптические свойства металлов в двухтемпературном состоянии


Теплопроводность металлов в двухтемпературном состоянии.
Описание теплопроводности в двухтемпературных состояниях важно, поскольку эта величина определяет глубину прогрева, а значит и пороги плавления и термомеханической абляции для конкретного материала. Причем вычисление теплопроводности в таких условиях является сложным, данных в литературе мало. Представленные на сайте сведения получены с помощью техники решения кинетического уравнения для электрон-электронных столкновений при температурах, сравнимых с энергией Ферми. Частоты электрон-электронных столкновений комбинируются с данными для электрон-ионного рассеяния. Наиболее трудным является случай расплавов. Для нахождения частот электрон-ионных столкновений в жидкой фазе были вычислены, во-первых, двухтемпературные ионные пространственные конфигурации (радиальная функция распределения и структурный фактор). Для расчетов конфигураций применялась квантовая молекулярная динамика (QMD) и обычная молекулярная динамика с разработанными нами или взятыми из литературы потенциалами межатомного взаимодействия. Далее ионные конфигурации, выбранные случайно на тот или иной момент времени (после релаксации к равновесию), использовались для расчета проводимости по формуле Кубо-Гринвуда. Полученные данные применялись при вычислении теплопроводности. Двухтемпературные функции, описывающие транспорт, включают однотемпературную ситуацию, как частный случай.
В разделе приведены данные расчетов ряда металлов (Au, Cu, Al), находящихся в двухтемпературном состоянии.

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Te, kKsolid, ρ = 19.3 g/cm3liquid, ρ = 17.33 g/cm3
Ti300K500K700K900K1100K1300K1400K1600K2000K3000K4000K5000K6000K7000K
0.3316.393190.221135.99105.82186.607873.299225.605223.478220.177415.067112.141910.24728.919957.93848
0.4420.408253.154181.104140.98115.4197.691734.147831.312226.911520.097216.196213.669211.89910.5899
0.5523.193315.68226.03176.038144.154122.04942.696639.152733.652325.133720.256217.096414.882813.2457
0.6624.46377.702270.724210.97172.825146.36151.252947.001240.401430.178224.323520.530217.872515.9069
0.7723.932439.12315.138245.752201.406170.61959.817854.85947.160335.23228.399323.971620.869318.5746
0.8821.35499.841359.226280.356229.884194.81268.392562.727453.930440.296632.484927.42223.874221.2498
0.9916.471559.773402.944314.76258.243218.93276.978170.607560.71345.373436.581530.882426.888223.9335
11009.07618.828446.248348.936286.467242.96985.575578.500567.509450.463640.690534.35429.912526.6265
1.11098.95676.921489.094382.86314.54266.91194.185586.407374.320755.568544.812937.837932.94829.3299
1.21185.94733.973531.44416.508342.449290.75102.80994.32981.148260.689348.9541.335135.995832.0447
1.31269.87789.911573.247449.857370.177314.476111.447102.26687.992765.827253.102944.846739.056834.7716
1.41350.61844.663614.476482.881397.709338.077120.099110.2294.855470.983357.272548.373742.131837.5115
1.51428.07898.167655.089515.559425.03361.545128.766118.191101.73776.158561.4651.917145.221940.2654
1.61502.15950.364695.051547.868452.126384.869137.449126.179108.63881.35465.666355.477748.32843.0339
1.71572.791001.2734.329579.786478.982408.039146.147134.185115.5686.570569.892359.056551.450745.818
1.81639.961050.63772.891611.293505.583431.044154.86142.21122.50391.80974.13962.654354.59148.6184
1.91703.631098.62810.709642.368531.917453.876163.59150.252129.46797.070278.407166.27257.749751.4358
21763.81145.12847.754672.992557.968476.523172.334158.314136.453102.35582.697469.910260.927354.2709
2.11820.511190.11884.003703.146583.724498.977181.094166.394143.461107.66387.010673.569864.124857.1244
2.21873.771233.57919.431732.814609.171521.227189.868174.492150.492112.99791.347477.251367.342759.9969
2.31923.651275.48954.02761.979634.298543.265198.656182.608157.545118.35595.708480.955470.581562.889
2.41970.211315.82987.751790.626659.091565.08207.457190.741164.62123.739100.09484.682773.84265.8013
2.52013.521354.61020.61818.74683.54586.664216.271198.892171.718129.149104.50588.433777.124768.7343
2.62053.661391.811052.58846.307707.634608.007225.096207.058178.837134.584108.94192.208980.4371.6885
2.72090.751427.451083.65873.317731.361629.102233.932215.241185.979140.046113.40496.008783.758474.6644
2.82124.861461.531113.82899.757754.712649.939242.776223.438193.142145.534117.89399.833587.110277.6624
2.92156.121494.061143.07925.619777.678670.511251.629231.649200.325151.049122.408103.68490.48680.6828
32184.641525.071171.4950.893800.249690.809260.488239.872207.528156.59126.95107.55993.885983.7261
3.12210.531554.561198.82975.572822.418710.827269.351248.106214.751162.157131.518111.46197.310486.7924
3.22233.91582.571225.32999.649844.177730.556278.218256.351221.992167.75136.114115.388100.75989.8822
3.32254.881609.121250.891023.12865.519749.991287.086264.604229.251173.369140.736119.342104.23392.9955
3.42273.581634.241275.561045.98886.439769.125295.953272.864236.526179.012145.385123.321107.73296.1326
3.52290.121657.971299.311068.23906.93787.952304.818281.129243.816184.681150.06127.327111.25799.2937
3.62304.621680.321322.161089.86926.987806.467313.678289.398251.121190.374154.762131.359114.806102.479
3.72317.191701.351344.121110.87946.608824.664322.531297.669258.438196.09159.49135.417118.38105.688
3.82327.941721.081365.21131.27965.787842.538331.376305.939265.766201.829164.243139.501121.98108.921
3.92336.981739.561385.41151.06984.523860.086340.209314.208273.105207.591169.022143.611125.605112.179
42344.421756.831404.751170.231002.81877.303349.029322.472280.452213.374173.826147.746129.254115.461
4.12350.361772.921423.261188.81020.66894.187357.832330.731287.806219.177178.654151.906132.929118.766
4.22354.91787.881440.931206.761038.05910.734366.618338.981295.165225.001183.506156.091136.628122.096
4.32358.121801.751457.81224.121055926.943375.382347.221302.527230.843188.382160.3140.351125.449
4.42360.141814.571473.871240.881071.5942.81384.123355.448309.891236.702193.28164.534144.099128.826
4.52361.021826.381489.161257.061087.56958.335392.839363.66317.256242.578198.2168.791147.87132.226
4.62360.851837.221503.71272.671103.17973.517401.526371.855324.618248.47203.141173.071151.665135.649
4.72359.721847.131517.491287.71118.34988.355410.183380.031331.976254.376208.103177.374155.482139.095
4.82357.691856.161530.571302.161133.071002.85418.806388.186339.329260.294213.084181.698159.322142.563
4.92354.831864.341542.951316.081147.371017427.394396.316346.674266.225218.084186.044163.184146.054
52351.221871.711554.651329.451161.231030.81435.943404.42354.01272.166223.102190.411167.068149.566
5.12346.921878.311565.691342.281174.671044.27444.452412.496361.335278.116228.137194.797170.973153.1
5.22341.991884.191576.11354.61187.691057.4452.918420.541368.646284.075233.188199.203174.899156.654
5.32336.481889.361585.881366.411200.291070.19461.339428.553375.942290.039238.254203.627178.844160.229
5.42330.441893.881595.081377.711212.481082.64469.712436.531383.221296.009243.333208.07182.809163.824
5.52323.931897.781603.691388.531224.271094.76478.036444.471390.48301.983248.426212.529186.792167.438
5.623171901.081611.761398.871235.661106.55486.307452.372397.719307.959253.531217.004190.794171.071
5.72309.671903.831619.291408.751246.651118.01494.525460.232404.935313.936258.646221.495194.813174.722
5.82302.011906.051626.311418.181257.271129.16502.686468.048412.126319.913263.772226198.849178.391
5.92294.041907.771632.841427.161267.511139.98510.79475.82419.291325.887268.906230.518202.9182.077
62285.81909.031638.891435.731277.381150.49518.833483.544426.428331.859274.047235.05206.967185.78
6.12277.331909.861644.51443.881286.891160.69526.815491.22433.534337.826279.195239.593211.049189.499
6.22268.651910.271649.661451.631296.051170.58534.734498.845440.61343.787284.349244.147215.144193.233
6.32259.81910.291654.421458.991304.861180.18542.588506.418447.652349.74289.506248.712219.253196.982
6.42250.81909.961658.781465.981313.341189.48550.376513.937454.659355.685294.667253.285223.374200.744
6.52241.671909.31662.761472.611321.491198.49558.096521.401461.63361.619299.83257.867227.506204.521
6.62232.441908.321666.381478.891329.321207.22565.748528.809468.563367.543304.994262.456231.649208.309
6.72223.131907.051669.661484.831336.841215.68573.329536.159475.457373.454310.158267.051235.802212.11
6.82213.761905.511672.611490.441344.061223.86580.839543.449482.311379.35315.321271.652239.965215.923
6.92204.351903.721675.261495.751350.991231.77588.277550.68489.123385.232320.481276.257244.135219.745
72194.911901.711677.61500.751357.631239.43595.641557.85495.892391.098325.638280.867248.314223.578
7.12185.471899.481679.681505.4713641246.83602.932564.957502.617396.946330.791285.479252.499227.42
7.22176.031897.061681.481509.91370.11253.99610.149572.001509.297402.775335.939290.092256.69231.271
7.32166.611894.451683.041514.081375.941260.91617.291578.982515.93408.585341.08294.707260.887235.13
7.42157.221891.691684.3615181381.541267.59624.357585.898522.517414.374346.214299.323265.088238.996
7.52147.871888.781685.471521.671386.891274.04631.347592.749529.056420.142351.34303.937269.294242.869
7.62138.571885.731686.361525.111392.011280.28638.261599.535535.547425.886356.457308.55273.502246.747
7.72129.331882.571687.051528.331396.911286.3645.099606.255541.988431.608361.563313.161277.712250.631
7.82120.171879.291687.571531.341401.591292.1651.86612.908548.379437.305366.659317.769281.924254.52
7.92111.081875.921687.911534.141406.061297.71658.546619.495554.72442.976371.743322.372286.138258.412
82102.071872.471688.081536.761410.331303.12665.154626.016561.01448.622376.815326.972290.351262.308
8.12093.161868.941688.111539.191414.411308.34671.687632.469567.248454.241381.874331.565294.564266.206
8.22084.341865.3516881541.441418.31313.38678.144638.856573.435459.832386.918336.153298.776270.107
8.32075.621861.71687.751543.531422.021318.24684.526645.176579.569465.395391.948340.734302.986274.009
8.42067.011858.011687.391545.471425.571322.93690.832651.43585.651470.93396.962345.308307.193277.912
8.52058.511854.281686.911547.251428.951327.46697.064657.617591.681476.435401.961349.873311.398281.815
8.62050.131850.511686.321548.91432.181331.82703.222663.739597.658481.911406.942354.43315.599285.718
8.72041.861846.731685.651550.411435.261336.03709.306669.794603.583487.356411.907358.978319.796289.62
8.82033.711842.931684.881551.81438.21340.09715.318675.784609.455492.771416.853363.515323.988293.521
8.92025.681839.131684.041553.0714411344.02721.257681.71615.275498.154421.781368.043328.174297.42
92017.781835.321683.121554.231443.671347.8727.125687.571621.042503.506426.691372.559332.355301.317
9.12010.011831.511682.131555.281446.221351.45732.923693.368626.757508.827431.581377.064336.53305.211
9.22002.371827.721681.091556.241448.651354.98738.651699.102632.419514.115436.451381.556340.698309.102
9.31994.851823.931679.991557.11450.971358.38744.311704.773638.031519.371441.302386.037344.858312.989
9.41987.471820.171678.841557.891453.191361.67749.903710.382643.59524.595446.132390.505349.011316.871
9.51980.221816.421677.661558.591455.31364.85755.428715.931649.099529.787450.941394.959353.155320.749
9.61973.11812.711676.431559.211457.321367.92760.888721.419654.557534.946455.729399.4357.291324.622
9.71966.111809.021675.181559.771459.251370.89766.283726.847659.965540.072460.495403.826361.418328.489
9.81959.251805.371673.891560.271461.091373.77771.614732.217665.323545.165465.24408.239365.536332.351
9.91952.531801.751672.591560.711462.851376.55776.883737.529670.631550.226469.963412.637369.644336.206
101945.941798.181671.271561.091464.541379.24782.091742.784675.891555.254474.664417.02373.742340.055
10.11939.491794.651669.931561.431466.161381.85787.239747.984681.103560.249479.343421.387377.83343.897
10.21933.171791.161668.591561.721467.711384.38792.327753.128686.267565.212484425.74381.907347.732
10.31926.981787.721667.231561.961469.21386.83797.358758.218691.384570.143488.634430.076385.973351.559
10.41920.921784.331665.881562.181470.631389.21802.333763.255696.455575.041493.245434.397390.028355.379
10.51914.9917811664.531562.3614721391.53807.252768.239701.481579.907497.834438.702394.071359.19
10.61909.191777.711663.181562.511473.331393.78812.116773.173706.461584.741502.401442.991398.103362.993
10.71903.521774.491661.831562.631474.61395.96816.928778.056711.397589.543506.944447.263402.124366.788
10.81897.981771.321660.51562.731475.841398.09821.689782.891716.289594.314511.465451.519406.132370.574
10.91892.571768.211659.181562.811477.031400.17826.398787.677721.139599.054515.964455.758410.128374.351
111887.291765.161657.871562.881478.181402.2831.059792.417725.946603.762520.439459.981414.112378.119
11.11882.131762.171656.581562.931479.31404.17835.671797.11730.712608.441524.893464.187418.083381.878
11.21877.091759.241655.311562.971480.391406.1840.236801.759735.438613.088529.323468.376422.042385.627
11.31872.181756.371654.0615631481.451407.99844.756806.363740.123617.706533.732472.549425.988389.366
11.41867.391753.571652.831563.031482.491409.84849.231810.925744.77622.294538.118476.705429.921393.096
11.51862.721750.831651.621563.051483.51411.65853.663815.445749.378626.853542.482480.844433.842396.816
11.61858.181748.161650.451563.081484.491413.43858.052819.924753.949631.383546.824484.966437.749400.526
11.71853.751745.551649.31563.11485.471415.18862.401824.363758.483635.884551.144489.071441.644404.226
11.81849.431743.011648.181563.131486.421416.89866.71828.764762.981640.357555.442493.16445.525407.915
11.91845.241740.541647.091563.161487.371418.58870.98833.126767.444644.803559.719497.232449.394411.594
121841.151738.131646.031563.191488.31420.25875.213837.452771.873649.221563.975501.287453.249415.263
12.11837.191735.7916451563.241489.221421.89879.409841.743776.268653.612568.21505.326457.092418.922
12.21833.331733.521644.011563.31490.131423.51883.57845.998780.63657.977572.423509.348460.921422.57
12.31829.591731.311643.061563.361491.041425.12887.697850.22784.96662.315576.616513.354464.737426.208
12.41825.951729.171642.141563.441491.951426.7891.79854.409789.259666.628580.789517.344468.541429.835
12.51822.421727.11641.251563.541492.851428.27895.852858.566793.528670.916584.941521.317472.331433.452
12.618191725.091640.411563.651493.751429.83899.882862.692797.767675.179589.074525.275476.109437.058
12.71815.681723.161639.61563.771494.651431.38903.882866.788801.977679.417593.187529.217479.873440.654
12.81812.471721.281638.831563.921495.551432.91907.853870.855806.158683.632597.28533.143483.625444.239
12.91809.361719.481638.11564.081496.461434.44911.795874.893810.312687.823601.354537.053487.364447.814
131806.361717.741637.411564.261497.371435.96915.711878.905814.44691.992605.409540.948491.09451.378
13.11803.451716.071636.761564.471498.281437.47919.6882.89818.541696.138609.446544.828494.804454.932
13.21800.641714.461636.161564.691499.211438.98923.464886.849822.618700.261613.464548.692498.505458.476
13.31797.931712.921635.591564.941500.141440.49927.304890.783826.669704.363617.465552.542502.194462.009
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56.23294.373246.363199.723154.413110.363067.532606.592556.22462.452262.32099.931965.581852.571756.18
56.33299.543251.473204.773159.43115.293072.42610.92560.442466.552266.092103.471968.91855.711759.17
56.43304.713256.583209.823164.393120.223077.272615.222564.682470.652269.882107.011972.231858.851762.16
56.53309.893261.693214.873169.383125.163082.152619.542568.922474.752273.672110.541975.5518621765.15
56.63315.073266.83219.923174.373130.093087.022623.862573.162478.852277.462114.081978.881865.141768.14
56.73320.253271.923224.983179.373135.023091.92628.182577.412482.952281.252117.611982.21868.291771.13
56.83325.433277.043230.043184.363139.963096.782632.52581.652487.052285.042121.151985.521871.431774.12
56.93330.623282.163235.093189.363144.93101.662636.822585.92491.152288.832124.691988.851874.571777.11
573335.83287.283240.153194.363149.843106.542641.152590.142495.252292.622128.231992.171877.721780.1
57.13340.993292.413245.223199.363154.783111.432645.472594.392499.362296.422131.761995.51880.861783.08
57.23346.183297.533250.283204.363159.723116.312649.792598.642503.462300.212135.31998.821884.011786.07
57.33351.373302.663255.353209.373164.673121.22654.122602.882507.5623042138.842002.151887.151789.06
57.43356.573307.793260.413214.373169.623126.092658.442607.132511.672307.792142.382005.481890.31792.05
57.53361.763312.923265.483219.383174.563130.982662.772611.382515.772311.592145.922008.81893.441795.04
57.63366.963318.063270.553224.393179.513135.872667.12615.632519.882315.382149.462012.131896.591798.03
57.73372.163323.193275.633229.43184.463140.762671.432619.882523.982319.1821532015.451899.731801.02
57.83377.363328.333280.73234.413189.423145.652675.752624.132528.092322.972156.542018.781902.881804.02
57.93382.563333.473285.783239.433194.373150.552680.082628.382532.22326.772160.082022.111906.021807.01
583387.773338.613290.853244.443199.333155.452684.412632.642536.32330.572163.622025.431909.171810
58.13392.983343.753295.933249.463204.283160.352688.742636.892540.412334.362167.162028.761912.321812.99
58.23398.183348.893301.013254.483209.243165.252693.072641.142544.522338.162170.72032.091915.461815.98
58.33403.393354.043306.13259.53214.23170.152697.412645.42548.632341.962174.242035.411918.611818.97
58.43408.613359.193311.183264.523219.173175.052701.742649.652552.742345.752177.782038.741921.751821.96
58.53413.823364.343316.263269.553224.133179.962706.072653.912556.852349.552181.322042.071924.91824.95
58.63419.043369.493321.353274.573229.093184.862710.412658.172560.962353.352184.862045.41928.051827.94
58.73424.253374.643326.443279.63234.063189.772714.742662.422565.072357.152188.412048.731931.191830.93
58.83429.473379.793331.533284.633239.033194.682719.082666.682569.192360.952191.952052.051934.341833.92
58.93434.73384.953336.623289.6632443199.592723.412670.942573.32364.752195.492055.381937.491836.91
593439.923390.113341.723294.693248.973204.52727.752675.22577.412368.552199.032058.711940.631839.9
59.13445.143395.273346.813299.723253.943209.412732.092679.462581.532372.352202.582062.041943.781842.89
59.23450.373400.433351.913304.763258.923214.332736.422683.722585.642376.152206.122065.371946.931845.88
59.33455.63405.593357.013309.83263.893219.242740.762687.982589.762379.952209.662068.71950.081848.88
59.43460.833410.753362.113314.833268.873224.162745.12692.242593.872383.752213.212072.031953.221851.87
59.53466.063415.923367.213319.873273.853229.082749.442696.52597.992387.552216.752075.361956.371854.86
59.63471.293421.093372.313324.913278.8232342753.782700.762602.12391.352220.32078.681959.521857.85
59.73476.533426.263377.423329.963283.813238.922758.132705.032606.222395.162223.842082.011962.661860.84
59.83481.763431.433382.5333353288.793243.842762.472709.292610.342398.962227.392085.341965.811863.83
59.934873436.63387.633340.043293.773248.762766.812713.552614.462402.762230.932088.671968.961866.82
603492.243441.773392.743345.093298.763253.692771.152717.822618.572406.572234.4820921972.111869.81
В клетках таблицы приведены расчитнные значения коэффициента теплопроводности золота, находящигося в двухтемпературном состоянии.

×

Te, kKsolid, ρ=2.7 g/cm3liquid, ρ=2.368 g/cm3
Ti300K500К700К900К1000К2000К3000К4000К5000К6000К7000К
0.3236.628142.066101.50378.958930.148818.907413.775110.8368.931837.597726.61103
0.4315.184189.325135.298105.2640.201925.213918.370414.451211.911810.13278.81684
0.5393.456236.495169.055131.54350.257331.523522.968518.068814.89412.669611.0244
0.6471.367283.554202.764157.80360.315337.836927.5721.689317.878815.208813.234
0.7548.839330.474236.413184.03370.375844.154432.175425.313420.866617.750815.4461
0.8625.793377.23269.99210.22780.438950.476536.785228.941323.857920.295817.661
0.9702.153423.795303.484236.37890.504456.803641.399732.573426.852922.844219.8789
1777.84470.143336.881262.48100.57263.135946.019436.210329.852125.396322.1001
1.1852.779516.248370.169288.526110.64169.473850.644639.852132.855827.952524.325
1.2926.895562.081403.334314.509120.71275.817355.275643.499235.864330.512926.5538
1.31000.12607.618436.365340.42130.78382.166859.912647.151938.877833.077928.7867
1.41072.37652.83469.247366.253140.85588.522264.55650.810541.896635.647731.024
1.51143.59697.691501.968392150.92694.883669.205954.475144.92138.222533.2659
1.61213.71742.177534.514417.654160.996101.25173.862558.146147.951140.802635.5125
1.71282.67786.26566.873443.206171.063107.62578.52661.823650.987243.38837.7641
1.81350.41829.916599.03468.65181.128114.00483.196465.507854.029445.979240.0208
1.91416.88873.122630.973493.976191.189120.38987.873969.198857.07848.57642.2828
21482.01915.852662.69519.177201.245126.7892.558572.896860.13351.178944.5503
2.11545.78958.083694.166544.246211.295133.17797.250376.601863.194653.787846.8233
2.21608.12999.794725.39569.175221.338139.579101.94980.31466.262956.402849.102
2.31669.011040.96756.35593.955231.373145.985106.65584.033469.33859.024251.3865
2.41728.41081.57787.033618.579241.398152.397111.36887.7672.4261.651953.677
2.51786.271121.59817.427643.04251.412158.813116.08991.493975.508964.286155.9734
2.61842.581161.02847.52667.329261.414165.232120.81695.23578.604766.926958.2759
2.71897.321199.82877.302691.439271.402171.656125.54998.983381.707669.574160.5845
2.81950.461237.99906.76715.363281.375178.082130.29102.73984.817472.22862.8992
2.92001.991275.5935.886739.094291.332184.511135.036106.50187.934274.888565.2201
32051.91312.35964.668762.623301.27190.942139.789110.27191.057977.555667.5473
3.12100.181348.53993.096785.945311.189197.374144.548114.04794.188580.229369.8806
3.22146.8213841021.16809.052321.086203.807149.312117.83197.32682.909572.2202
3.32191.831418.781048.85831.938330.961210.241154.082121.62100.4785.596374.5659
3.42235.211452.841076.17854.596340.81216.674158.857125.417103.62188.289676.9179
3.52276.961486.191103.09877.019350.634223.106163.636129.219106.77990.989379.2759
3.62317.091518.81129.62899.202360.429229.536168.42133.028109.94293.695381.6401
3.72355.621550.671155.74921.138370.194235.963173.208136.842113.11396.407684.0102
3.82392.561581.81181.45942.822379.928242.388177.999140.662116.28999.12686.3863
3.92427.921612.191206.74964.248389.628248.808182.794144.488119.471101.8588.7682
42461.741641.821231.61985.411399.293255.223187.591148.318122.659104.58191.1559
4.12494.021670.71256.061006.31408.921261.633192.39152.153125.853107.31793.5493
4.22524.791698.831280.071026.93418.51268.035197.191155.993129.052110.05895.9482
4.32554.081726.21303.641047.27428.058274.431201.993159.836132.256112.80598.3525
4.42581.911752.811326.761067.33437.563280.818206.796163.684135.464115.558100.762
4.52608.321778.681349.451087.11447.024287.195211.599167.534138.678118.315103.177
4.62633.331803.791371.681106.6456.439293.562216.401171.388141.896121.077105.596
4.72656.981828.151393.471125.79465.805299.918221.203175.245145.118123.844108.021
4.82679.291851.771414.81144.68475.122306.262226.003179.103148.343126.615110.45
4.92700.31874.651435.681163.28484.386312.593230.8182.964151.573129.39112.883
52720.041896.81456.11181.57493.597318.909235.595186.826154.805132.17115.321
5.12738.551918.221476.061199.56502.752325.21240.386190.688158.04134.953117.762
5.22755.861938.921495.571217.24511.85331.495245.174194.552161.278137.739120.208
5.327721958.91514.631234.62520.889337.763249.956198.415164.518140.528122.657
5.42787.011978.181533.221251.68529.868344.013254.733202.278167.759143.321125.109
5.52800.931996.771551.361268.43538.784350.243259.504206.14171.002146.116127.565
5.62813.782014.671569.051284.86547.635356.453264.268210174.246148.913130.023
5.72825.612031.891586.291300.98556.421362.642269.024213.859177.491151.712132.484
5.82836.442048.441603.081316.79565.14368.808273.772217.715180.736154.513134.948
5.92846.322064.331619.421332.28573.789374.951278.512221.568183.981157.315137.413
62855.272079.581635.321347.46582.368381.069283.241225.418187.225160.118139.881
6.12863.342094.21650.771362.31590.875387.162287.961229.263190.469162.921142.35
6.22870.542108.191665.791376.86599.309393.229292.669233.105193.711165.726144.82
6.32876.922121.561680.371391.09607.667399.268297.366236.941196.951168.53147.291
6.42882.52134.341694.531405615.949405.279302.05240.771200.189171.333149.763
6.52887.322146.531708.251418.6624.154411.26306.721244.596203.425174.136152.235
6.62891.42158.151721.561431.89632.28417.211311.379248.414206.657176.938154.708
6.72894.792169.21734.451444.87640.325423.131316.021252.224209.886179.739157.18
6.82897.52179.71746.931457.54648.29429.018320.649256.027213.111182.538159.652
6.92899.562189.661759.011469.91656.172434.872325.26259.822216.332185.335162.123
72901.012199.11770.681481.97663.97440.691329.855263.608219.548188.129164.593
7.12901.862208.021781.961493.72671.684446.476334.432267.384222.759190.92167.061
7.22902.152216.451792.841505.18679.313452.225338.991271.15225.964193.709169.528
7.32901.92224.381803.351516.33686.855457.937343.532274.906229.163196.493171.993
7.42901.142231.841813.471527.19694.31463.611348.053278.652232.356199.274174.455
7.52899.882238.841823.231537.76701.676469.246352.554282.385235.542202.051176.915
7.62898.162245.391832.621548.04708.955474.843357.034286.107238.72204.822179.372
7.728962251.51841.651558.03716.143480.399361.493289.815241.89207.589181.825
7.82893.412257.181850.321567.74723.242485.914365.93293.511245.052210.35184.275
7.92890.422262.461858.651577.16730.25491.388370.344297.194248.206213.106186.722
82887.042267.331866.641586.31737.167496.82374.735300.862251.35215.856189.163
8.12883.312271.811874.31595.19743.992502.208379.103304.515254.485218.599191.601
8.22879.232275.911881.631603.79750.726507.553383.446308.154257.61221.335194.033
8.32874.822279.651888.641612.13757.367512.854387.763311.777260.725224.064196.461
8.42870.112283.031895.341620.2763.915518.11392.056315.384263.829226.786198.883
8.52865.112286.071901.731628.02770.371523.32396.322318.974266.922229.499201.299
8.62859.842288.781907.821635.58776.734528.484400.562322.548270.003232.205203.709
8.72854.32291.161913.611642.89783.003533.602404.774326.104273.072234.902206.113
8.82848.522293.241919.121649.96789.18538.673408.959329.642276.129237.59208.511
8.92842.512295.011924.351656.77795.263543.696413.116333.163279.174240.269210.901
92836.292296.491929.311663.36801.253548.671417.244336.664282.205242.938213.284
9.12829.872297.6919341669.7807.15553.598421.344340.146285.223245.598215.66
9.22823.252298.631938.421675.82812.954558.477425.414343.609288.228248.248218.028
9.32816.462299.31942.591681.7818.665563.306429.454347.052291.218250.887220.388
9.42809.52299.721946.521687.37824.284568.085433.464350.475294.194253.515222.74
9.52802.392299.891950.21692.81829.81572.815437.443353.877297.155256.133225.083
9.62795.132299.841953.651698.05835.245577.495441.392357.259300.102258.739227.418
9.72787.752299.551956.871703.07840.588582.125445.309360.619303.032261.333229.744
9.82780.232299.061959.861707.88845.84586.704449.194363.958305.948263.916232.06
9.92772.612298.351962.641712.5851.001591.233453.048367.274308.847266.487234.367
102764.882297.441965.21716.92856.071595.711456.87370.569311.73269.045236.664
10.12757.052296.351967.561721.14861.052600.138460.658373.841314.597271.591238.951
10.22749.132295.061969.731725.17865.944604.513464.415377.09317.447274.123241.228
10.32741.142293.61971.691729.02870.747608.838468.138380.317320.28276.643243.494
10.42733.072291.971973.471732.69875.462613.111471.828383.52323.096279.15245.75
10.52724.942290.181975.071736.18880.09617.333475.485386.7325.894281.643247.995
10.62716.742288.231976.481739.5884.631621.504479.108389.856328.675284.122250.229
10.72708.52286.141977.731742.64889.086625.624482.698392.988331.438286.587252.452
10.82700.22283.91978.811745.63893.456629.692486.253396.096334.183289.039254.663
10.92691.872281.521979.731748.45897.742633.709489.775399.18336.909291.476256.863
112683.52279.011980.491751.11901.943637.675493.262402.239339.617293.898259.052
11.12675.112276.381981.11753.62906.062641.59496.716405.274342.307296.306261.228
11.22666.692273.631981.561755.98910.099645.454500.135408.284344.978298.699263.393
11.32658.252270.771981.881758.2914.055649.267503.519411.269347.63301.077265.545
11.42649.792267.791982.061760.27917.93653.03506.87414.23350.262303.44267.685
11.52641.322264.721982.111762.2921.726656.742510.186417.165352.876305.788269.812
11.62632.852261.541982.021764925.443660.405513.467420.075355.47308.12271.927
11.72624.372258.281981.821765.67929.083664.017516.714422.959358.045310.437274.029
11.82615.92254.921981.491767.2932.646667.579519.926425.818360.6312.738276.118
11.92607.422251.491981.051768.62936.133671.092523.104428.652363.135315.024278.194
122598.962247.971980.51769.91939.545674.555526.248431.461365.651317.293280.257
12.12590.512244.381979.841771.08942.884677.97529.357434.243368.147319.547282.308
12.22582.072240.711979.071772.14946.149681.335532.431437.001370.623321.785284.344
12.32573.652236.981978.21773.09949.343684.653535.472439.732373.08324.006286.368
12.42565.242233.191977.241773.93952.466687.922538.479442.438375.516326.212288.378
12.52556.862229.331976.181774.66955.518691.144541.451445.119377.932328.401290.375
12.62548.512225.421975.041775.3958.502694.318544.389447.774380.328330.574292.358
12.72540.182221.461973.81775.83961.418697.445547.294450.403382.704332.73294.327
12.82531.872217.451972.491776.26964.267700.526550.165453.007385.059334.871296.283
12.92523.62213.391971.091776.61967.051703.56553.002455.585387.395336.994298.225
132515.362209.291969.621776.86969.769706.549555.806458.138389.711339.102300.153
13.12507.162205.141968.071777.02972.423709.492558.577460.666392.006341.192302.068
13.22498.992200.961966.451777.1975.015712.39561.315463.168394.281343.267303.968
13.32490.862196.751964.761777.09977.544715.243564.019465.645396.536345.325305.855
13.42482.762192.511963.011777.01980.013718.052566.691468.097398.771347.366307.728
13.52474.712188.231961.21776.85982.422720.817569.331470.523400.986349.391309.587
13.62466.72183.931959.321776.61984.771723.539571.938472.925403.181351.399311.432
13.72458.732179.61957.391776.3987.063726.218574.513475.301405.356353.391313.263
13.82450.82175.251955.411775.92989.298728.854577.056477.653407.51355.366315.08
13.92442.922170.891953.371775.47991.478731.449579.568479.98409.645357.325316.883
142435.082166.51951.281774.95993.602734.002582.048482.283411.76359.267318.673
14.12427.292162.11949.141774.38995.672736.514584.497484.561413.856361.193320.448
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501520.571476.951435.761396.811036.45903.748801.239719.673653.227598.052551.506
50.11520.131476.581435.461396.561036.52903.922801.475719.943653.515598.348551.804
50.21519.691476.211435.151396.321036.58904.096801.71720.212653.802598.644552.102
50.31519.261475.851434.851396.071036.64904.27801.946720.481654.089598.939552.4
50.41518.821475.491434.561395.831036.71904.445802.181720.75654.375599.234552.697
50.51518.41475.131434.261395.61036.78904.62802.416721.019654.662599.529552.994
50.61517.971474.781433.971395.361036.84904.795802.651721.288654.948599.823553.29
50.71517.551474.421433.681395.131036.91904.971802.887721.556655.234600.117553.586
50.81517.131474.071433.391394.91036.98905.147803.122721.824655.519600.41553.882
50.91516.721473.731433.111394.671037.05905.323803.357722.092655.805600.703554.177
511516.311473.391432.831394.441037.12905.499803.592722.36656.09600.996554.472
51.11515.91473.051432.551394.221037.19905.676803.828722.628656.374601.289554.767
51.21515.51472.711432.2713941037.27905.853804.063722.895656.659601.581555.061
51.31515.11472.3814321393.781037.34906.03804.298723.162656.943601.873555.355
51.41514.71472.041431.731393.561037.41906.207804.533723.429657.227602.164555.648
51.51514.31471.721431.461393.341037.49906.385804.768723.696657.51602.456555.942
51.61513.911471.391431.191393.131037.57906.563805.003723.963657.794602.747556.234
51.71513.531471.071430.931392.921037.64906.742805.239724.23658.077603.037556.527
51.81513.141470.751430.671392.711037.72906.92805.474724.496658.36603.327556.819
51.91512.761470.431430.411392.511037.8907.099805.709724.762658.642603.617557.111
521512.381470.121430.151392.31037.88907.278805.944725.028658.925603.907557.402
52.11512.011469.811429.91392.11037.96907.458806.179725.294659.207604.196557.693
52.21511.641469.51429.651391.91038.04907.637806.414725.56659.489604.485557.984
52.31511.271469.191429.41391.71038.12907.817806.649725.825659.77604.774558.275
52.41510.91468.891429.151391.511038.2907.997806.884726.091660.051605.063558.565
52.51510.541468.591428.911391.321038.28908.178807.119726.356660.332605.351558.855
52.61510.181468.291428.671391.131038.36908.359807.354726.621660.613605.639559.144
52.71509.8214681428.431390.941038.45908.54807.589726.886660.894605.926559.433
52.81509.471467.711428.191390.751038.53908.721807.825727.151661.174606.213559.722
52.91509.121467.421427.961390.571038.62908.902808.06727.416661.454606.5560.01
531508.771467.131427.731390.381038.71909.084808.295727.68661.734606.787560.299
53.11508.431466.851427.51390.21038.79909.266808.53727.945662.014607.073560.586
53.21508.081466.561427.271390.021038.88909.449808.765728.209662.293607.359560.874
53.31507.751466.291427.041389.851038.97909.631809728.473662.572607.645561.161
53.41507.411466.011426.821389.671039.06909.814809.235728.737662.851607.931561.448
53.51507.081465.741426.61389.51039.15909.997809.47729.001663.13608.216561.735
53.61506.751465.461426.381389.331039.24910.18809.705729.264663.408608.501562.021
53.71506.421465.21426.171389.161039.33910.364809.94729.528663.687608.786562.307
53.81506.11464.931425.9513891039.42910.548810.175729.791663.965609.07562.593
53.91505.771464.671425.741388.831039.51910.732810.411730.054664.243609.354562.878
541505.461464.41425.531388.671039.61910.916810.646730.317664.52609.638563.163
54.11505.141464.151425.331388.511039.7911.101810.881730.58664.797609.922563.448
54.21504.831463.891425.121388.351039.8911.286811.116730.843665.075610.205563.733
54.31504.521463.641424.921388.21039.89911.471811.351731.106665.352610.488564.017
54.41504.211463.381424.721388.041039.99911.657811.586731.368665.628610.771564.301
54.51503.91463.131424.521387.891040.09911.842811.821731.631665.905611.054564.584
54.61503.61462.891424.321387.741040.18912.028812.057731.893666.181611.336564.868
54.71503.31462.641424.131387.591040.28912.214812.292732.155666.457611.618565.151
54.815031462.41423.941387.441040.38912.401812.527732.417666.733611.9565.434
54.91502.711462.161423.751387.31040.48912.587812.762732.679667.009612.181565.716
551502.421461.931423.561387.151040.58912.774812.998732.941667.284612.462565.998
55.11502.131461.691423.371387.011040.68912.962813.233733.203667.559612.743566.28
55.21501.841461.461423.191386.871040.78913.149813.468733.464667.834613.024566.562
55.31501.561461.231423.011386.731040.89913.337813.703733.726668.109613.305566.843
55.41501.2814611422.831386.61040.99913.524813.939733.987668.384613.585567.124
55.515011460.771422.651386.461041.09913.713814.174734.248668.658613.865567.405
55.61500.721460.551422.471386.331041.2913.901814.409734.509668.933614.145567.686
55.71500.451460.331422.31386.21041.3914.09814.645734.77669.207614.424567.966
55.81500.181460.111422.131386.071041.41914.279814.88735.031669.481614.704568.246
55.91499.911459.891421.961385.951041.51914.468815.115735.292669.754614.983568.526
561499.641459.681421.791385.821041.62914.657815.351735.552670.028615.262568.805
56.11499.381459.471421.631385.71041.73914.847815.586735.813670.301615.54569.084
56.21499.121459.261421.461385.571041.84915.036815.821736.073670.574615.818569.363
56.31498.861459.051421.31385.451041.95915.226816.057736.333670.847616.097569.642
56.41498.61458.841421.141385.341042.05915.417816.292736.593671.12616.374569.921
56.51498.351458.641420.981385.221042.16915.607816.528736.854671.392616.652570.199
56.61498.11458.441420.831385.11042.28915.798816.763737.113671.665616.93570.477
56.71497.851458.241420.671384.991042.39915.989816.999737.373671.937617.207570.754
56.81497.61458.041420.521384.881042.5916.18817.234737.633672.209617.484571.032
56.91497.361457.851420.371384.771042.61916.372817.47737.893672.481617.76571.309
571497.121457.661420.221384.661042.72916.563817.705738.152672.752618.037571.586
57.11496.881457.461420.071384.561042.84916.755817.941738.412673.024618.313571.863
57.21496.641457.281419.931384.451042.95916.948818.176738.671673.295618.589572.139
57.31496.41457.091419.791384.351043.07917.14818.412738.93673.566618.865572.415
57.41496.171456.91419.651384.251043.18917.333818.648739.189673.837619.141572.691
57.51495.941456.721419.511384.141043.3917.525818.883739.448674.108619.416572.967
57.61495.711456.541419.371384.051043.41917.718819.119739.707674.378619.691573.242
57.71495.491456.361419.231383.951043.53917.912819.355739.966674.649619.966573.517
57.81495.261456.181419.11383.851043.65918.105819.59740.224674.919620.241573.792
57.91495.041456.011418.971383.761043.77918.299819.826740.483675.189620.516574.067
581494.821455.841418.841383.671043.89918.493820.062740.742675.459620.79574.342
58.11494.61455.671418.711383.581044.01918.687820.298741675.728621.064574.616
58.21494.391455.51418.581383.491044.13918.882820.533741.258675.998621.338574.89
58.31494.181455.331418.451383.41044.25919.076820.769741.516676.267621.612575.164
58.41493.961455.171418.331383.321044.37919.271821.005741.775676.537621.885575.437
58.51493.7614551418.211383.231044.49919.466821.241742.033676.806622.159575.711
58.61493.551454.841418.091383.151044.61919.661821.477742.29677.075622.432575.984
58.71493.341454.681417.971383.071044.74919.857821.713742.548677.343622.705576.256
58.81493.141454.521417.851382.991044.86920.053821.949742.806677.612622.977576.529
58.91492.941454.371417.741382.911044.98920.248822.185743.064677.88623.25576.801
591492.741454.221417.631382.831045.11920.445822.421743.321678.149623.522577.074
59.11492.551454.061417.511382.761045.23920.641822.657743.579678.417623.794577.346
59.21492.351453.911417.41382.681045.36920.838822.893743.836678.685624.066577.617
59.31492.161453.771417.291382.611045.48921.034823.129744.093678.952624.338577.889
59.41491.971453.621417.191382.541045.61921.231823.365744.35679.22624.609578.16
59.51491.781453.471417.081382.471045.74921.428823.601744.608679.487624.881578.431
59.61491.61453.331416.981382.41045.87921.626823.837744.865679.755625.152578.702
59.71491.421453.191416.881382.331045.99921.823824.073745.122680.022625.423578.973
59.81491.231453.051416.781382.271046.12922.021824.309745.378680.289625.693579.243
59.91491.051452.911416.681382.21046.25922.219824.545745.635680.556625.964579.513
601490.881452.781416.581382.141046.38922.418824.781745.892680.822626.234579.783
В клетках таблицы приведены расчитнные значения коэффициента теплопроводности алюминия, находящигося в двухтемпературном состоянии.

×

Te, kKsolid, ρ = 8.96 g/cm3liquid, ρ = 7.91 g/cm3
Ti300K500K700K900K1100K1300K1400K1600K2000K3000K4000K5000K6000K7000K
0.3399.798240.176171.645133.541109.28192.48128.354725.479121.403915.885413.09611.417710.39.50426
0.4532.494320.23228.961178.178145.833123.42737.872834.032728.590621.220217.494515.252813.759812.6968
0.5664.581400.232286.336222.904182.479154.46647.446242.63735.820726.588321.920919.112317.241815.91
0.6795.812480.131343.766267.728219.235185.61457.087451.303343.104431.997526.381723.002220.751319.1487
0.7925.905559.86401.236312.653256.11216.88666.808260.042650.45137.455230.883226.92824.293522.4176
0.81054.55639.338458.723357.677293.112248.29276.619868.865357.8742.968635.431630.895127.873325.7215
0.91181.42718.47516.194402.793330.243279.83986.532677.781165.369848.544840.032934.908931.495429.0647
11306.16797.147573.61447.986367.501311.53196.556486.799372.958754.190444.692638.974435.164732.4516
1.11428.39875.246630.922493.236404.879343.369106.795.928380.644559.911549.416343.096438.885435.8864
1.21547.73952.631688.07538.516442.366375.349116.971105.17688.43465.714154.20947.279642.66239.373
1.31663.781029.15744.988583.793479.946407.465127.377114.54896.333971.603759.075551.528346.498242.9152
1.41776.161104.66801.6629.029517.598439.706137.924124.052104.3577.585464.020355.846650.398146.5166
1.51884.481178.97857.82674.175555.296472.057148.615133.692112.48783.663569.047660.238354.365150.1804
1.61988.371251.92913.558719.181593.008504.498159.456143.472120.74989.842474.161264.706858.402453.91
1.72087.471323.32968.712763.987630.697537.007170.449153.396129.1496.125579.364369.255462.513157.7079
1.82181.4613931023.18808.528668.322569.556181.594163.464137.662102.51684.659973.886866.699861.5769
1.92270.041460.751076.84852.733705.836602.112192.891173.678146.318109.01690.050578.603570.964965.5192
22352.951526.41129.59896.527743.188634.641204.34184.038155.107115.62795.538383.407675.310669.5369
2.12429.971589.761181.3939.83780.323667.103215.936194.541164.03122.352101.12588.300779.738473.6316
2.22500.941650.661231.85982.557817.18699.454227.676205.185173.086129.189106.81193.284284.249777.8048
2.32565.721708.941281.121024.62853.697731.646239.554215.966182.273136.14112.59898.35988.845782.0575
2.42624.251764.431328.991065.93889.806763.63251.562226.878191.587143.203118.485103.52693.526986.3906
2.52676.518171375.341106.4925.439795.352263.692237.915201.024150.378124.472108.78498.293690.8043
2.62722.491866.521420.041145.93960.524826.757275.933249.069210.58157.662130.558114.133103.14695.2989
2.72762.31912.8814631184.44994.989857.787288.275260.33220.248165.052136.742119.574108.08399.874
2.82796.0419561504.111221.831028.76888.382300.705271.689230.022172.545143.022125.103113.104104.529
2.92823.871995.811543.271258.021061.77918.482313.207283.134239.893180.137149.395130.72118.208109.263
32845.992032.261580.41292.921093.93948.026325.768294.653249.852187.823155.858136.423123.394114.075
3.12862.622065.341615.421326.461125.19976.955338.37306.231259.89195.598162.408142.208128.658118.963
3.22874.012095.031648.271358.571155.471005.21350.997317.855269.995203.456169.041148.074134123.926
3.32880.442121.351678.91389.171184.721032.72363.629329.509280.157211.39175.751154.015139.416128.96
3.42882.212144.351707.281418.211212.861059.45376.248341.176290.363219.392182.535160.03144.902134.063
3.52879.612164.081733.361445.641239.841085.33388.834352.84300.601227.456189.387166.113150.457139.233
3.62872.972180.611757.151471.421265.611110.31401.367364.484310.857235.573196.3172.26156.075144.466
3.72862.592194.041778.651495.511290.131134.35413.825376.089321.116243.735203.269178.466161.753149.758
3.82848.792204.481797.861517.881313.361157.4426.189387.638331.366251.931210.287184.726167.487155.107
3.92831.882212.041814.811538.531335.261179.43438.437399.111341.591260.154217.347191.034173.272160.507
42812.172216.851829.551557.451355.81200.39450.549410.491351.776268.392224.442197.385179.102165.955
4.12789.952219.051842.111574.631374.981220.26462.504421.76361.907276.637231.564203.772184.974171.446
4.22765.52218.791852.561590.11392.771239.02474.282432.898371.968284.877238.706210.189190.88176.975
4.32739.082216.21860.951603.861409.181256.65485.863443.889381.945293.103245.86216.63196.817182.538
4.42710.972211.451867.381615.951424.21273.13497.23454.716391.822301.304253.017223.088202.778188.129
4.52681.382204.691871.911626.411437.841288.45508.363465.36401.587309.47260.17229.557208.758193.743
4.62650.562196.071874.621635.271450.111302.62519.247475.808411.224317.591267.31236.029214.75199.376
4.72618.72185.731875.621642.581461.041315.64529.866486.043420.72325.656274.43242.498220.748205.021
4.82585.992173.8418751648.391470.661327.52540.204496.051430.062333.655281.52248.957226.748210.674
4.92552.632160.531872.841652.771478.981338.26550.25505.82439.238341.578288.574255.399232.742216.328
52518.762145.941869.251655.771486.051347.89559.991515.337448.237349.417295.584261.817238.725221.979
5.12484.532130.21864.331657.451491.911356.43569.417524.592457.047357.161302.54268.205244.69227.621
5.22450.082113.461858.161657.891496.591363.9578.519533.574465.658364.803309.437274.556250.632233.249
5.32415.532095.821850.851657.151500.161370.33587.289542.275474.062372.333316.267280.863256.546238.858
5.42380.982077.41842.481655.31502.641375.76595.722550.689482.25379.744323.022287.121262.425244.442
5.52346.532058.321833.161652.411504.11380.22603.814558.809490.216387.028329.697293.324268.264249.996
5.62312.272038.671822.971648.551504.581383.75611.561566.631497.952394.179336.285299.465274.057255.515
5.72278.272018.551811.991643.781504.151386.38618.962574.151505.454401.191342.779305.54279.801260.996
5.82244.61998.051800.311638.181502.841388.16626.017581.368512.717408.057349.176311.543285.489266.433
5.92211.311977.2517881631.811500.721389.12632.727588.28519.738414.774355.468317.469291.118271.821
62178.461956.231775.141624.741497.841389.32639.094594.887526.516421.335361.652323.314296.683277.157
6.12146.081935.051761.81617.031494.241388.79645.122601.191533.047427.739367.724329.074302.18282.437
6.22114.221913.781748.051608.741489.991387.57650.816607.195539.332433.98373.68334.744307.604287.657
6.32082.911892.481733.951599.921485.131385.71656.182612.902545.371440.057379.515340.321312.954292.814
6.42052.161871.191719.551590.641479.721383.25661.226618.315551.166445.969385.228345.802318.225297.905
6.52022.011849.971704.911580.951473.791380.24665.956623.441556.717451.712390.817351.185323.414302.926
6.61992.461828.861690.091570.891467.41376.7670.38628.284562.029457.287396.278356.466328.52307.875
6.71963.521807.891675.121560.521460.591372.7674.507632.852567.104462.694401.611361.644333.539312.75
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49.71559.971552.141544.381536.71529.11521.571298.51285.561261.961213.561176.291146.811122.981103.36
49.81561.721553.891546.131538.451530.841523.311300.041287.11263.491215.071177.781148.281124.431104.81
49.91563.471555.641547.871540.191532.581525.051301.591288.641265.011216.571179.271149.751125.891106.26
501565.221557.381549.621541.931534.321526.791303.131290.171266.541218.071180.751151.221127.351107.7
50.11566.971559.131551.361543.671536.061528.531304.661291.711268.061219.581182.231152.691128.81109.14
50.21568.711560.871553.11545.411537.81530.261306.21293.241269.581221.081183.721154.151130.251110.58
50.31570.461562.611554.841547.151539.5415321307.731294.771271.11222.581185.21155.621131.71112.02
50.41572.21564.351556.581548.891541.271533.731309.271296.291272.621224.071186.671157.081133.151113.46
50.51573.941566.091558.321550.6215431535.461310.81297.821274.141225.571188.151158.541134.61114.89
50.61575.681567.821560.051552.351544.731537.191312.331299.351275.661227.061189.6311601136.051116.33
50.71577.411569.561561.781554.091546.461538.921313.861300.871277.171228.561191.11161.461137.491117.76
50.81579.151571.291563.521555.821548.191540.641315.381302.391278.681230.051192.581162.921138.941119.2
50.91580.881573.021565.251557.541549.921542.371316.911303.911280.191231.541194.051164.371140.381120.63
511582.611574.751566.971559.271551.641544.091318.431305.431281.71233.031195.521165.831141.821122.06
51.11584.341576.481568.71560.991553.361545.811319.951306.951283.211234.511196.991167.281143.261123.48
51.21586.071578.211570.431562.721555.091547.531321.471308.461284.7212361198.451168.731144.71124.91
51.31587.81579.931572.151564.441556.811549.251322.991309.981286.221237.481199.921170.181146.131126.34
51.41589.521581.661573.871566.161558.521550.961324.511311.491287.731238.961201.381171.631147.571127.76
51.51591.251583.381575.591567.881560.241552.681326.0213131289.231240.441202.851173.0811491129.18
51.61592.971585.11577.311569.591561.951554.391327.541314.511290.731241.921204.311174.531150.441130.6
51.71594.691586.821579.031571.311563.671556.11329.051316.021292.231243.41205.771175.971151.871132.02
51.81596.411588.531580.741573.021565.381557.811330.561317.521293.721244.881207.221177.411153.31133.44
51.91598.121590.251582.451574.731567.091559.521332.071319.031295.221246.351208.681178.851154.731134.86
521599.841591.961584.171576.441568.81561.221333.581320.531296.711247.831210.141180.291156.151136.27
52.11601.551593.681585.881578.151570.51562.931335.091322.031298.21249.31211.591181.731157.581137.69
52.21603.261595.391587.581579.861572.211564.631336.591323.531299.71250.771213.041183.1711591139.1
52.31604.971597.091589.291581.561573.911566.331338.091325.031301.191252.241214.491184.611160.431140.51
52.41606.681598.815911583.271575.611568.031339.591326.531302.671253.71215.941186.041161.851141.92
52.51608.391600.511592.71584.971577.311569.731341.091328.021304.161255.171217.391187.471163.271143.33
52.61610.11602.211594.41586.671579.011571.431342.591329.521305.641256.631218.841188.911164.691144.74
52.71611.81603.911596.11588.371580.711573.121344.091331.011307.131258.11220.281190.341166.11146.15
52.81613.51605.611597.81590.071582.411574.821345.591332.51308.611259.561221.731191.771167.521147.55
52.91615.21607.311599.51591.761584.11576.511347.081333.991310.091261.021223.171193.191168.931148.95
531616.91609.011601.21593.461585.791578.21348.571335.481311.571262.481224.611194.621170.351150.36
53.11618.61610.711602.891595.151587.481579.891350.061336.961313.051263.941226.051196.041171.761151.76
53.21620.31612.41604.581596.841589.171581.581351.551338.451314.521265.391227.491197.471173.171153.16
53.31621.991614.091606.271598.531590.861583.261353.041339.9313161266.851228.931198.891174.581154.55
53.41623.681615.791607.961600.221592.541584.941354.531341.411317.471268.31230.361200.311175.991155.95
53.51625.381617.481609.651601.91594.231586.631356.011342.891318.941269.751231.81201.731177.391157.35
53.61627.061619.161611.341603.591595.911588.311357.491344.371320.411271.21233.231203.151178.81158.74
53.71628.751620.851613.021605.271597.591589.991358.981345.851321.881272.651234.661204.561180.21160.13
53.81630.441622.531614.711606.951599.271591.661360.461347.321323.351274.11236.091205.981181.61161.53
53.91632.121624.221616.391608.631600.951593.341361.931348.81324.811275.541237.521207.391183.011162.92
541633.811625.91618.071610.311602.631595.021363.411350.271326.281276.991238.951208.811184.411164.31
54.11635.491627.581619.741611.991604.31596.691364.891351.741327.741278.431240.371210.221185.81165.69
54.21637.171629.261621.421613.661605.971598.361366.361353.211329.21279.871241.81211.631187.21167.08
54.31638.851630.931623.11615.331607.641600.031367.831354.681330.661281.311243.221213.031188.61168.46
54.41640.521632.611624.771617.011609.311601.71369.311356.151332.121282.751244.641214.441189.991169.85
54.51642.21634.281626.441618.681610.981603.361370.781357.611333.571284.191246.061215.851191.391171.23
54.61643.871635.951628.111620.341612.651605.031372.241359.081335.031285.621247.481217.251192.781172.61
54.71645.551637.621629.781622.011614.311606.691373.711360.541336.481287.061248.91218.651194.171173.99
54.81647.221639.291631.451623.681615.981608.351375.1813621337.941288.491250.311220.061195.561175.37
54.91648.881640.961633.111625.341617.641610.011376.641363.461339.391289.921251.731221.461196.951176.75
551650.551642.631634.7816271619.31611.671378.11364.921340.841291.351253.141222.861198.331178.12
55.11652.221644.291636.441628.661620.961613.331379.561366.371342.281292.781254.561224.251199.721179.5
55.21653.881645.951638.11630.321622.621614.991381.021367.831343.731294.211255.971225.651201.11180.87
55.31655.541647.611639.761631.981624.271616.641382.481369.281345.181295.631257.381227.051202.481182.24
55.41657.211649.271641.421633.641625.931618.291383.941370.741346.621297.061258.781228.441203.871183.61
55.51658.861650.931643.071635.291627.581619.941385.391372.191348.061298.481260.191229.831205.251184.98
55.61660.521652.591644.731636.941629.231621.591386.851373.641349.51299.91261.61231.221206.621186.35
55.71662.181654.241646.381638.591630.881623.241388.31375.081350.941301.3212631232.6112081187.72
55.81663.831655.91648.031640.241632.531624.891389.751376.531352.381302.741264.412341209.381189.09
55.91665.491657.551649.681641.891634.171626.531391.21377.971353.821304.161265.81235.391210.751190.45
561667.141659.21651.331643.541635.821628.171392.651379.421355.251305.581267.21236.771212.131191.81
56.11668.791660.851652.981645.181637.461629.811394.091380.861356.691306.991268.61238.161213.51193.18
56.21670.441662.491654.621646.831639.11631.451395.541382.31358.121308.412701239.541214.871194.54
56.31672.081664.141656.271648.471640.751633.091396.981383.741359.551309.821271.41240.921216.241195.9
56.41673.731665.781657.911650.111642.381634.731398.421385.181360.981311.231272.791242.31217.611197.25
56.51675.371667.421659.551651.751644.021636.371399.861386.611362.411312.641274.181243.681218.981198.61
56.61677.021669.061661.191653.391645.6616381401.31388.051363.841314.051275.581245.061220.341199.97
56.71678.661670.71662.831655.021647.291639.631402.741389.481365.261315.451276.971246.441221.711201.32
56.81680.291672.341664.461656.661648.921641.261404.181390.921366.681316.861278.361247.811223.071202.68
56.91681.931673.981666.11658.291650.551642.891405.611392.351368.111318.261279.741249.191224.431204.03
571683.571675.611667.731659.921652.181644.521407.041393.781369.531319.661281.131250.561225.81205.38
57.11685.21677.241669.361661.551653.811646.151408.481395.21370.951321.071282.521251.931227.161206.73
57.21686.841678.881670.991663.181655.441647.771409.911396.631372.371322.471283.91253.31228.511208.08
57.31688.471680.511672.621664.81657.061649.391411.341398.051373.781323.861285.281254.671229.871209.42
57.41690.11682.131674.241666.431658.691651.011412.761399.481375.21325.261286.661256.041231.231210.77
57.51691.731683.761675.871668.051660.311652.631414.191400.91376.611326.661288.041257.411232.581212.12
57.61693.351685.391677.491669.671661.931654.251415.621402.321378.031328.051289.421258.771233.941213.46
57.71694.981687.011679.121671.31663.551655.871417.041403.741379.441329.451290.81260.141235.291214.8
57.81696.61688.631680.741672.911665.161657.491418.461405.161380.851330.841292.181261.51236.641216.14
57.91698.221690.251682.361674.531666.781659.11419.881406.581382.261332.231293.551262.861237.991217.48
581699.851691.871683.971676.151668.391660.711421.31407.991383.671333.621294.931264.221239.341218.82
58.11701.461693.491685.591677.761670.011662.321422.721409.411385.071335.011296.31265.581240.691220.16
58.21703.081695.111687.21679.371671.621663.931424.141410.821386.481336.391297.671266.941242.031221.5
58.31704.71696.721688.821680.991673.231665.541425.551412.231387.881337.781299.041268.31243.381222.83
58.41706.311698.331690.431682.61674.841667.151426.971413.641389.281339.161300.411269.651244.721224.16
58.51707.931699.951692.041684.21676.441668.751428.381415.051390.681340.551301.781271.011246.071225.5
58.61709.541701.561693.651685.811678.051670.361429.791416.461392.081341.931303.141272.361247.411226.83
58.71711.151703.161695.251687.421679.651671.961431.21417.861393.481343.311304.511273.711248.751228.16
58.81712.761704.771696.861689.021681.251673.561432.611419.271394.881344.691305.871275.061250.091229.49
58.91714.361706.381698.461690.621682.861675.161434.021420.671396.271346.071307.231276.411251.421230.82
591715.971707.981700.071692.221684.451676.761435.421422.071397.671347.441308.61277.761252.761232.14
59.11717.571709.581701.671693.821686.051678.351436.831423.471399.061348.821309.961279.111254.11233.47
59.21719.181711.181703.271695.421687.651679.951438.231424.871400.451350.191311.311280.451255.431234.79
59.31720.781712.781704.861697.021689.241681.541439.631426.271401.841351.561312.671281.81256.761236.12
59.41722.381714.381706.461698.611690.841683.131441.031427.671403.231352.941314.031283.141258.11237.44
59.51723.981715.981708.061700.211692.431684.721442.431429.061404.621354.311315.381284.481259.431238.76
59.61725.571717.571709.651701.81694.021686.311443.831430.461406.011355.681316.741285.821260.761240.08
59.71727.171719.171711.241703.391695.611687.91445.231431.851407.391357.041318.091287.161262.081241.4
59.81728.761720.761712.831704.981697.21689.481446.621433.241408.771358.411319.441288.51263.411242.72
59.91730.351722.351714.421706.571698.781691.071448.021434.631410.161359.771320.791289.841264.741244.03
601731.941723.941716.011708.151700.371692.651449.411436.021411.541361.141322.141291.171266.061245.35
Описание (Cu новый дизайн)


Оптические свойства металлов в двухтемпературном состоянии.
В разделе приведены данные экспериментов по измерению комплексной диэлектрической проницаемости ряда металлов (Au, Ag, Ni, V), находящихся в двухтемпературном состоянии в результате воздействия фемтосекундных лазерных импульсов. Диагностика оптических свойств проводилась интерферометрическим методом в субпикосекундном диапазоне в видимой области спектра при нагреве электронной подсистемы до 10¸ 30 кК. Источником излучения являлись две фемтосекундные лазерные системы: титан-сапфировая (основная длина волны lL = 800 нм, длительность импульса tL = 40 фс) и хром-форстеритовая (lL = 1240 нм, tL = 80 фс). Измерения проводились на длинах волн 400, 620 и 800 нм в субпикосекундном временном диапазоне (спустя 0.3 пс после лазерного воздействия) методом фемтосекундной интерференционной микроскопии. Для определения  использовались формулы Френеля, связывающие измеряемый комплексный коэффициент отражения мишени  с комплексным показателем преломления среды [1,2]. Оценка электронной температуры  была получена из решения уравнений для двухтемпературного состояния электронов и решётки в металлах [3,5].

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Комплексная диэлектрическая проницаемость

Металл (λ, нм) 
при 300 К [1]
ε=εr+iεi
расплав [2]
 
двухтемпературное состояние [3]
Te, кК (расчет)Плотность энергии F0, Дж/см2F0/Fa
Au (620)–9,73+i1,31–9,58+i8,2–18+i17231.71.3
Au (800)–22,1+i1,78–19,4+i10,5–26+i26231.71.3
Au (400)–1,05+i5,62–2,77+i7,57–9,6+i9231.71.3
Ni (620)–9,16+i14,4–6,6+i18,55–10+i198.60.51.5
Ag (800)–24,6+i1,83–25+i5–55+i624.811.5
Ag (400)–3,59+i0,53–9,28+i1,78–7,7+i1,724.811.5
V (800)-0,39+i20,5-–9,5+i15,0-0.32
Комплексная диэлектрическая проницаемость ε в равновесном и двухтемпературном состоянии для различных металлов, длин волн и параметров лазерного воздействия:
λ - длина волны излучения, F0/Fa - превышение плотности энергии лазерного излучения над порогом абляции вещества.

Работа выполнена при поддержке Российского Научного Фонда, грант № 14-50-00124.

 

Литература

  1. Temnov V.V., Sokolovski-Tinten K., Zhou P., von der Linde D. Ultrafast imaging interferometry at femtosecond laser-excited surfaces // J.Opt. Soc. Am. B. 23, 1954 (2006).
  2. Агранат М.Б., Андреев Н.Е., Ашитков С.И., Вейсман М.Е., Левашов П.Р., Овчинников А.В., Ситников Д.С., Фортов В.Е., Хищенко К.В. Определение транспортных и оптических свойств неидеальной плазмы твердотельной плотности при фемтосекундном лазерном воздействии // Письма в ЖЭТФ. 85, 328 (2007)
  3. Rakić A.D., Djurišic A.B., Elazar J.M., Majewski M.L. Optical properties of metallic films for vertical-cavity optoelectronic devices // Appl. Opt. 37, 5271 (1998)
  4. Krishnan S., Hansen G., Hauge R., Margrave J. Spectral Emissivities and Optical Constants of Electromagnetically Levitated Liquid Metals as Functions of Temperature and Wavelength // High Temp. Sci.. 29, 17 (1990)
  5. С.И. Ашитков, П.С. Комаров, Е.В. Струлёва, А.А. Юркевич, М.Б. Агранат // Экспериментальные измерения оптических постоянных металлов, находящихся в двухтемпературном состоянии ТВТ, 54, № 6, с. 957 (2016)

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