Declaration of Rachel J. Watters on Authentication of Publication
`
`1, Rachel J. Watters, am a librarian, and the Director of Wisconsin TechSearch
`
`(“WTS”), located at 215 North Randall Avenue, Madison Wisconsin, 53706. WTS is
`
`an interlibrary loan department at the University of Wisconsin-Madison.
`
`I have worked
`
`as a librarian at the University of Wisconsin library system since 1998.
`
`I have been
`
`employed at WTS since 2002, first as a librarian and, beginning in 2011, as the Director.
`
`Through the course of my employment, I have become well informed about the
`
`operations of the University of Wisconsin library system, which follows standard library
`
`practices.
`
`This Declaration relates to the dates of receipt and availability of the following:
`
`CRC Handbook of Chemistry and Physics, 7lst edition (1990-1991),
`pages 12-103 through 12-108.
`
`rocedures or materials at the Universit 0 Wisconsin-
`Standard 0 eratin
`
`
`
`
`Madison Libraries. When a volume was received by the Library, it would be checked
`
`in, stamped with the date of receipt, added to library holdings records, and made
`
`available to readers as soon after its arrival as possible. The procedure normally took a
`
`few days or at most 2 to 3 weeks.
`
`Exhibit A to this Declaration is a true and accurate copy of the title page, library
`
`date stamp, and pages 12-103 through 12—108 of CRC Handbook oanemistry and
`
`Physics, 7lst edition (1990-1991), from the University of Wisconsin-Madison Library
`
`collection. The date stamp on the back cover page indicates that the CRC Handbook of
`
`Page 1 of 11
`
`Samsung Exhibit 1021
`
`
`
`Page 1 of 11
`
`Samsung Exhibit 1021
`
`

`

`Declaration of Rachel J. Watters on Authentication of Publication
`
`Chemistry and Physics, 7lst edition (1990-1991), was received by Memorial Library,
`
`University of Wisconsin, on July 16, 1990.
`
`Based on the information in Exhibit A, it is clear that the volume was received by
`
`the library on or before July 16, 1990, catalogued and available to library patrons within
`
`a few days or at most 2 to 3 weeks after July 16, 1990.
`
`I declare that all statements made herein of my own knowledge are true and that
`
`all statements made on information and belief are believed to be true; and further that
`
`these statements were made with the knowledge that willful false statements and the like
`
`so made are punishable by fine or imprisonment, or both, under Section 1001 of Title 18
`
`of the United States Code.
`
`Date: September 16, 2016
`
`Wisconsin TechSearch
`
`Director
`
`Wendt Commons Library
`215 North Randall Avenue
`
`Madison, Wisconsin 53706
`
`Page 2 of 11
`
`
`
`Page 2 of 11
`
`

`

`CRC Handbook
`
`mm”
`
`of
`
`Chemistry and Physics
`
`Boca Raton Ann Arbor Boston
`
`A Ready-Reference Book of Chemical and Physical Data
`
`Editor-in-Chief
`
`David R. Lide, Ph.D.
`
`CRC Press
`
`Page 3 of 11
`
`EXHIBIT A
`
`
`
`Page 3 of 11
`
`

`

`EXHIBIT A
`
`1I
`
`
`
`
`
`©1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990 by CRC Press, Inc.
`
`©1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973 by THE CHEMICAL RUBBER CO.
`Copyright 1918, 1920 by The Chemical Rubber Company (Copyright renewed 1946, 1948 by The Chemical Rubber Publishing Company)
`
`Copyright 1922 (Copyright renewed 1950), 1925 (Copyright renewed 1953), 1926 (Copyright renewed 1954), 1927 (Copyright renewed 1955), 1929
`(Copyright renewed 1957), 1936, 1937 (Copyright renewed 1965 by The Chemical Rubber Co.), 1939, 1940 (Copyright renewed 1968 by the Chemical
`Rubber Co.), 1941 (Copyright renewed 1969 by The Chemical Rubber Co.), 1942 (Copyright renewed 1970 by The Chemical Rubber Co.), 1943
`(Copyright renewed 1971 by The Chemical Rubber Co.), 1944 (Copyright renewed 1972 by The Chemical Rubber Co.), 1945 (Copyright renewed
`1973 by The Chemical Rubber Co.), 1947, 1949, 1950, 1951, 1952 (Copyright renewed 1980 by CRC Press, Inc.), 1953 (Copyright renewed 1981a
`by CRC Press, Inc.), 1954 (Copyright renewed 1982 by CRC Press, Inc.), 1955 (Copyright renewed 1983 by CRC Press, Inc.), 1956 by Chemical
`Rubber Publishing Company
`
`@1957, 1958, 1959, 1960, 1962 by Chemical Rubber Publishing Company
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`All Rights Reserved
`Library of Congress Card No. 13—11056
`PRLNTED IN U.S.A.
`
`ISBN-0—8493-047 1—7
`
`Page 4 of 11
`
`EXHIBIT A
`
`
`
`Page 4 of 11
`
`

`

`JUL 1 6 1990
`EXHIBIT
`if : :
`REFERENCE (301.1541)”
`MEMQREAL L52??? 52H}!
`ATOMIC WEIGHTS, MELTING AND BOILING POINTS GEE-Ci RCU LAT: I
`THE ELEMENTS (CONTINUED)
`
`number
`
`Atomic
`weight
`
`Footnotes
`
`Melting
`point (°C)
`
`Name
`
`Symbol
`
`Radium
`Radon
`Rhenium
`Rhodium
`Rubidium
`Ruthenium
`Samarium
`Scandium
`Selenium
`Silicon
`Silver (Argentum)
`Sodium (Natrium)
`Strontium
`V Sulfpr
`Tantalum
`chhnetium
`Tellurium
`Terbium
`Thalliunt
`Thorium
`Thullium
`Tin (Slannurn)
`Titanium
`Tungsten (Wolfram)
`Unnihexium
`Unnilpentium
`Unnilquadium
`Unnilseptium
`Uranium
`Vanadium
`Wolfram (see Tungsten)
`Xenon
`Ytterbium
`Yttrium
`Zinc
`Zirconium
`
`Ra
`Rn
`Re
`Rh
`Rb
`Ru
`Sm
`Sc
`Se
`Si
`Ag
`Na
`Sr
`S
`Ta
`TC
`Te
`T1)
`T1
`Th
`Trn
`Sn
`Ti
`W
`(Unh)
`(Unp)
`(Unq)
`(Uns)
`U
`V
`
`Xe
`Yb
`Y
`Zn
`Zr
`
`’9
`
`@
`
`
`
` Atomic
`
`88
`86
`75
`45
`37
`44
`62
`21
`34
`14
`47
`11
`38
`16
`73
`43
`‘52
`65
`81
`90
`69
`50
`22
`74
`106
`105
`104
`107
`92
`23
`
`226.025
`(222)
`186.207(1)
`102.90550(3)
`85.4678(3)
`101.07(2)
`150.36(3)
`44.955910(9)
`7896(3)
`28.08556)
`107.8682(2)
`22.989768(6)
`8762(1)
`32.0}66(_6)
`1809479“)
`(98)
`127.60(3)
`158.92534(3)
`204.3833(2)
`232.0381“)
`168.9342l(3)
`“8.710(7)
`4788(3)
`183.85(3)
`(263)
`(262)
`(261)
`(262)
`238.0289(1)
`50.941.5(1)
`
`54
`70
`39
`30
`40
`
`131.29(2)
`173.04(3)
`88.90585(2)
`6539(2)
`91.224(2)
`
`g. L
`
`g
`g
`g
`
`g
`g
`r
`
`g
`
`g, L
`
`700
`771
`3180
`1965 i3
`38.89
`2310
`1074 .
`1541
`217
`1410
`961.93
`97.81 i 0.03
`769
`1128
`2996
`2172
`449.5 i 0.3
`1356
`303.5
`1750
`1545
`2319681
`1660 i 10
`3410 i 20
`
`-
`
`1140
`761.8
`5627 (est.)
`3727 i 100
`686
`3900
`1794
`2836
`684.9 i 1.0
`2355
`2212
`882.9
`1384
`444.674
`5425 i 100
`4877
`989.8 i 3.8
`3230
`1457 t 10
`3800 (approx.)
`1950
`2270
`3287
`5660
`
`g. m I
`
`g. In
`
`g
`
`1132 i 0.8
`1890i 10
`
`7111.9
`819
`1552
`419.58
`1852 i 2
`
`3818
`3380
`
`w107.1: 3
`1196
`5338
`907
`4377
`
`-
`
`g
`
`geological exceptional specimens are known in which the element has an isotopic composition outside the limits for normal
`material. The difference between the atomic weight of the element in such specimens and that given in the Table may exceed
`considerably the implied uncertainty.
`m modified isotopic compositions may be found in commercially available material because it has been subjected to an undisclosed
`or inadvertent isotopic separation. Substantial deviations in atomic weight of the element from that given in the Table can occur.
`range in isotopic composition of normal terristrial material prevents a more precise atomic weight being given; the tabulated Ar (E)
`value should be applicable to any normal material.
`Triple point; (graphitc~1iquid-gas), 3627 : 50°C at a pressure of 101 MPa and (graphite-diamond-liquid), 3830 to 3930°C at a
`pressure of 12 to 13 GPa.
`Longest half-life isotope mass is chosen for the tabulated Ar (E) value.
`
`r
`
`t
`L
`
`Page 5 Of 11
`
`EXHIBIT A
`
`
`
`Page 5 of 11
`
`

`

`SPECIFIC HEAT AND ENTHALPY OF SOME SOLIDS AT LOW EXHIBIT A
`TEMPERATURES
`R. J. Corruccini and J. J. Gniewek
`For a more extensive listing of data one is referred to N.B.S. Monograph 21 (1960)
`Joules/g X 453.6 = joules/1b X 0.239 = cal/g X 0.4299 = Btu/1b
`Melals
`
`Aluminum
`
`
`Beryllium
`
`Bismuth
`
`
`Cadmium
`__—_
`
`Cl,
`jg"deg" K
`0.00010“
`0.000051
`0.000108
`0.000176
`0.000261
`0.00050
`0.00088
`0.0014
`0.0040
`0.0089
`0.0175
`0.0315
`0.0515
`0.0775
`0.142
`0.214
`0.287
`0.357
`0.422
`0.481
`
`H — Ho
`11;"
`*
`0.000025
`0.000105
`0.000246
`0.000463
`0.00121
`0.0026
`0.0049
`0.018
`0.048
`0.112
`0.232
`0.436
`0.755
`1.85
`3.64
`6.15
`9.37
`13.25
`17.76
`
`Cp
`11.2"deg" K
`0.000025
`0.000051
`0.000079
`0.000109
`0.000180
`0.000271
`0.000389
`0.000842
`0.00161
`0.00279
`0.00450
`
`0.00996
`0.0192
`0.0341
`0.0562
`0.0906
`0.139
`0.199
`
`H — H"
`11;"
`0.000013
`0.000051
`0.000116
`0.000209
`0.000496
`0.000944
`0.00160
`0.00457
`0.0105
`0.0212
`0.0392
`
`0109
`0.253
`0.523
`0.971
`1.69
`2.82
`4.51
`
`q,
`1.9" deg" K
`000000598
`0.0000461
`0.000170
`0.000493
`0.00214
`0.00547
`0.0104
`0.0238
`0.0363
`0.0477
`0.0572
`
`H — H“
`12"
`000000158
`0.0000233
`0.000123
`0.000432
`0.00288
`0.0102
`0.0259
`0.111
`0.262
`0.472
`0.734
`
`0.0727
`0.0846
`0.0935
`0.100
`0.105
`0.108
`0.1 11
`
`1.38
`2.17
`3.06
`4.03
`5.05
`6.12
`7.21
`
`Cp
`12” deg" K
`0.000003
`0.000033
`0.000090
`0.00021
`0.00130
`0.0043
`0.0030
`0.025
`0.046
`0.066
`0.086
`
`0.117
`0.141
`0.159
`0.172
`0.132
`0.190
`0.196
`
`H — H0
`19"
`0.000003
`0.000022
`0.000082
`0.00022
`0.0015
`0.0070
`0.109
`0.102
`0.28
`0.56
`0.94
`
`1.96
`3.26
`4.76
`6.43
`8.20
`10.1
`12.0
`
`Chromium
`
`
`Copper
`
`
`Germanium"
`
`
`Gold
`
`
`CF.
`1;" deg" K
`0.000000528
`000000423
`0.0000144
`0.0000344
`0.000125
`0.000125
`0.000335
`0.000813
`0.00445
`0.0125
`0.0240
`0.0366
`0.0617
`0.0858
`0.108
`0.131
`0.153
`0.173
`0.191
`
`H _ Ho
`12"
`0000000132
`0.00000211
`0.0000107
`0.0000343
`0.000179
`0.000179
`0.000612
`0.00169
`0.0136
`0.0540
`0.145
`0.296
`0.786
`1.52
`2.50
`3.70
`5.12
`6.74
`8.55
`
`'y-Iron"
`
`
`c...
`'deg“ K
`
`12
`
`H — H0
`19"
`
`Cl,
`jg"d€g"K
`0.0000285
`0.000058
`0.000089
`0.00014
`0.000206
`0.000206
`0.000312
`0.000451
`0.00102
`0.00210
`0.00392
`0.00683
`0.0171
`0.0358
`0.0621
`0.093
`0.127
`0.161
`0.193
`
`H — Ho
`jg"
`0.0000142
`0.0000573
`0.000131
`0.000237
`0.000567
`0.000567
`0.00107
`0.00182
`0.00528
`0.0128
`0.0274
`0.0532
`0.163
`0.421
`0.904
`1.68
`2.77
`4.21
`5.98
`
`Cp
`jg" deg" K
`0.000012
`0.000028
`0.000053
`0.000091
`0.00023
`0.00023
`0.00047
`0.00086
`0.0027
`0.0077
`0.016
`0.027
`0.060
`0.099
`0.137
`0.173
`0.205
`0.232
`0.254
`
`H — HD
`jg"
`0.000006
`0.000025
`0.000064
`0.00013
`0.00044
`0.00044
`0.00112
`0.0024
`0.0107
`0.034
`0.090
`0.195
`0.61
`1.40
`2.58
`4.13
`6.02
`8.22
`10.6
`
`Indium
`
`
`m-Ironc
`
`
`q,
`jg"deg" K
`0.000029
`0.000019“
`0.000138
`0.00014111
`
`0.000410
`0.0004643
`0.000584
`0.000669“
`0.00095
`
`H — Hn
`12."
`0.00001 1
`0.000006“
`0.000085
`0.000073a
`
`0.000341
`0.0003572l
`0.000537
`0.000581“
`0.00099
`
`C,
`19"deg“K
`0.000090
`
`0.000183
`
`H — 1-1u
`jg“
`0.000045
`
`0.000181
`
`0.000279
`
`0.000412
`
`0.000382
`
`0.000742
`
`0.00359
`
`000520
`
`0.000615
`
`0.00173
`
`Cl,
`12" deg" K
`0.000006
`0.000025
`0.000070
`0.00016
`0.00050
`0.00050
`0.0012
`0.0022
`0.0074
`0.0159
`0.0263
`0.0371
`0.0572
`0.0726
`0.0842
`0.0928
`0.0992
`0.1043
`0.1083
`
`H — 11.,
`12"
`0.000002
`0.000016
`0.000061
`0.00017
`0.00078
`0.00073
`0.0024
`0.0056
`0.028
`0.086
`0.191
`0.349
`0.321
`1.47
`2.25
`3.14
`4.10
`5.12
`6.18
`
`Lead
`____._.
`
`Cl,
`jg"deg"K
`0.000026
`0.000012a
`0.00012
`0.000093
`
`0.00033
`0.00031u
`
`0.0007
`0.00073
`0.0015
`0.0015a
`0,0029
`0.0030u
`0.0043
`
`H —— H0
`jg“
`0.000010
`0.000003u
`0.00007
`0.000053
`0.00028
`0.00023“
`
`0.0008
`0.0007“
`0.0018
`0.00133
`0.0039
`0.0040a
`0.008
`
`100
`
`mach-wa—
`
`10
`
`20
`25
`30
`40
`50
`60
`70
`80
`90
`100
`
`°K
`
`vow——
`
`3.40”
`3.40
`
`umomu-Jr-
`
`Page 6 ofll
`
`12— 103
`
`EXHIBIT A
`
`
`
`Page 6 of 11
`
`

`

`SPECIFIC HEAT AND ENTHALPY OF SOME SOLIDS AT LOW EXHIBIT A
`TEMPERATURES (continued)
`Copper
`Germanium”
`Chromium
`Gold
`
`
`T
`“K
`7
`8
`10
`15
`20
`25
`30
`40
`50
`60
`70
`80
`90
`100
`
`cP
`18"968“ K
`—
`0.00855
`0.0155
`0.036
`0.0608
`0.0857
`0.108
`0.141
`0162
`0.176
`0.186
`0.193
`0.198
`0203
`
`H—Ha
`18"
`—
`0.003233
`0.00537
`0.0145
`0.0316
`0.061
`0.110
`0.31
`0.73
`1.43
`2.46
`3.84
`5.55
`7.56
`
`CF
`8" deg“ K
`—
`7
`—
`—
`0007
`—
`0016
`0.041
`0090
`0.137
`0.180
`0.21K
`0.255
`0.28R
`
`cp
`Cl,
`11—11.,
`18" deg" K
`18" deg" K
`1'8"
`0.0050“
`i
`—
`0.0073
`0000.90
`0.0170
`0.0137
`0.00124
`00408
`0.0335
`0.00249
`0170
`0.0531
`0.0045
`0.413
`0.0681
`0.0075
`0778
`0.0796
`0.0124
`1.265
`0.0944
`0.029
`2.52
`0103
`0.055
`4.04
`0.108
`0.087
`5.73
`0.112
`0.121
`7.53
`0.114
`0.154
`9.42
`0.116
`0.186
`11.38
`0.118
`0.216
`13.39
`Molybdenum
`Nickel
`Palladium
`
`
`H—Ho
`1'8"
`—
`4
`a
`—
`
`0
`
`—
`0.11
`0.39
`1.02
`2.16
`3.75
`5.744
`8.1I
`103
`
`11—11,,
`1'8"
`0.008“
`0.014
`0.034
`0.150
`0.368
`0.672
`1.042
`1.920
`2.91
`3.97
`5.07
`6.20
`7.35
`853
`
`T
`"K
`1
`2
`2
`3
`3
`4
`4
`5
`5
`6
`6
`7
`7
`8
`8
`9
`9
`10
`15
`20
`25
`30
`40
`50
`60
`70
`80
`90
`100
`
`Cl,
`jg"de8" K
`0.0000229
`0.0000472
`i
`0.0000745
`i
`0.000106
`i
`_
`i
`0.000191
`_
`-
`_
`0.000317
`_
`_
`_
`0.000498
`0.00131
`0.00287
`0.00577
`0.00960
`0.0236
`0.0410
`0.0619
`0.0838
`0.104
`0.123
`0.139
`
`H—Ho
`jgum'
`0.0000105
`0.0000445
`i
`0.000105
`i
`0.000194
`i
`_
`i
`0000484
`_
`_
`_
`0.000981
`_
`_
`_
`0.00178
`0.00610
`0.0161
`0.0374
`0.0729
`0.232
`0.554
`1.07
`1.80
`2.74
`3.88
`5.20
`
`Cp
`jg"‘deg" K
`0.000120
`0.000242
`i
`0.000369
`i
`0.000503
`i
`_
`i
`000082
`E
`_
`i
`0.00119
`¥
`_
`¥
`0.00162
`0.0031
`0.0058
`0.0101
`0.0167
`0.0381
`0.0682
`0103
`0.139
`0.173
`0.204
`0.232
`
`H—Hn
`jg"
`0.000060
`0.000241
`_
`0.000546
`_
`0.00098
`_
`7
`_
`0.00228
`E
`_
`_
`0.00428
`_
`_
`_
`0.0071
`0.0185
`0.041
`0.079
`0.145
`0.413
`0.937
`1.79
`3.00
`4.56
`6.45
`8.63
`
`C,
`jg"deg" K
`0.000099
`0.000203
`_
`0000318
`_
`0.000447
`_
`7
`_
`0.000891
`_
`_
`_
`0.00141
`_
`_
`_
`0.00210
`0.00471
`0.00922
`0.0160
`0.0258
`0.0507
`00777
`0.101
`0.122
`0.139
`0.154
`0.167
`
`H—Ho
`is"
`00000493
`0.000200
`i
`0.000459
`_
`0.000840
`_
`_
`_
`0.00231
`_
`i
`_
`0.00460
`_
`i
`_
`0.00807
`0.0245
`0.0586
`0120
`0.223
`0.600
`1.24
`2.14
`3.26
`4.56
`6.03
`7.63
`
`Platinum
`Rhodium
`
`
`T
`“K
`1
`2
`3
`4
`6
`8
`10
`15
`20
`25
`30
`40
`50
`60
`70
`80
`90
`100
`
`CP
`18" deg“ K
`0.000035
`0.000074
`0.000122
`0.000186
`0.00037
`000067
`0.00112
`0.0033
`0.0074
`0,0137
`0.0212
`0,038
`0.055
`0.068
`0.079
`0.088
`0.094
`0.100
`
`11—4-1n
`jg"
`0.0000175
`0.000071
`0.000168
`0.000320
`000085
`0.00188
`000365
`0.0135
`0.0395
`0.092
`0.182
`0.048
`0.95
`1.56
`2.29
`3.12
`4.02
`5.01
`
`Cp
`18"9188“ K
`0.000048
`0.000097
`0.000147
`0.000201
`0.00032
`0.00047
`0.00065
`0.00135
`0.00271
`0.00561
`0.0106
`0.266
`0.0489
`0.9724
`0.094
`0.114
`0.132
`0.147
`
`H—Hn
`1'8"
`0.000024
`0.000096
`0.000218
`0.000392
`0.00091
`0.00170
`0.00281
`0.00765
`0.0174
`0.0373
`0.0071
`0.256
`0.633
`1.238
`2.07
`3.11
`4.34
`5.74
`
`Siliconl
`Silver
`
`CF
`H—Hu
`cp
`H—Ho
`18" deg" K
`1'8"
`1'8" deg" K
`1'8“
`0.000000263
`0.0000000658
`00000072
`0.0000032
`000000210
`000000105
`0.0000239
`00000176
`000000709
`0100000532
`00000595
`0.0000574
`0.0000168
`0.0000168
`0.000124
`0.000146
`0.0000596
`0.0000853
`000039
`000062
`0.000140
`0.000279
`0.00091
`0.00187
`0.000275
`0.000679
`0.0018
`0.00452
`0.00109
`000374
`00064
`0.0233
`0.00337
`0.0138
`00155
`0.076
`0.00849
`0.0423
`0.0287
`0.185
`0.0171
`0.105
`0.0442
`0.368
`0.0440
`0.400
`0078
`0.979
`0.0785
`1.00
`0.108
`1.91
`01115
`1197
`0133
`3.12
`0,152
`3.31
`0151
`4.54
`0.188
`5.01
`0166
`6.13
`0,224
`7.06
`0.177
`7.85
`0.259
`9.47
`0187
`9.67
`
`Page 7 of 11
`
`12—104
`
`EXHIBIT A
`
`
`
`Page 7 of 11
`
`

`

`SPECIFIC HEAT AND ENTHALPY OF SOME SOLIDS AT LOW
`
`EXHIBIT A
`
`TEMPERATURES (continued)
`Tantalum
`Tin twhilel
`Sodium"n
`Titanium
`
`
`
`T
`“K
`1
`1
`2
`2
`3
`3
`T72"
`3.72
`4
`4
`4.39”
`4.39
`5
`6
`8
`10
`12
`14
`15
`16
`18
`20
`25
`30
`40
`50
`60
`70
`80
`90
`100
`
`CP
`Jg"deg"K
`0.000081
`—
`0.000289
`—
`0.00076
`v
`—
`i
`0.00160
`—
`—
`—
`0.00298
`0.0051
`0.0122
`0.0238
`0.0397
`0.063
`i
`0.093
`0.124
`0.155
`0.259
`0.364
`0.544
`0.695
`0.793
`0.86
`0.91
`0.95
`0.98
`
`H—Hn
`is"
`0.000035
`7
`0.000204
`—
`0.00070
`—
`~
`i
`0.00184
`—
`7
`7
`0.00408
`0.0081
`0.0247
`0.0602
`0.123
`0.225
`#
`0.380
`0.597
`0.875
`1.90
`3.45
`8.03
`14.2
`21.7
`30.0
`38.9
`48.2
`57.9
`
`Cp
`jg"'deg"K
`0.000032
`0.0000063“
`0.000068
`0.000054“
`0.000112
`0.000178"
`—
`—
`0.000171
`0.000352“
`0.000201
`0.000433“
`7
`0.000333
`0.000648
`0.00117
`—
`7
`0.00360
`—
`—
`0.00823
`0.0153
`0.0240
`0.0430
`0.0604
`0.0754
`00.189
`0.0976
`0.105
`0.111
`
`I
`
`H—Hn
`jg"
`0.000016
`0.0000021“
`0.000065
`0.000026“
`0.000155
`0.000138“
`—
`7
`0.000295
`0.000400“
`0.000368
`0.000553“
`—
`0.000776
`0.00173
`0.00352
`—
`i
`0.0145
`—
`i
`0.0432
`0.102
`0.202
`0,540
`1.06
`1.74
`4.27
`3.49
`4.50
`5.58
`Tungsten
`Zinc
`
`
`CI,
`lg"deg"
`0.0000170
`0.0000041“
`0.000047
`0.000048“
`0.000109
`0.000151“
`0.000198
`0.000285“
`0.000245
`7
`—
`—
`0.00054
`0.00127
`0.0042
`0.0081
`—
`i
`0.226
`i
`—
`0.040
`0058
`0,076
`0.106
`0.130
`0.148
`0.162
`0.173
`0.182
`0.189
`
`H—Ha
`jg"
`0.0000079
`0.0000009“
`0.0000383
`0.0000228“
`0.000113
`0.000116“
`0.000221
`0.000270“
`0.000283
`—
`i
`v
`000065
`0.00151
`0.0068
`0.0190
`i
`V
`0.093
`—
`i
`0.251
`0.498
`0.834
`1.75
`2.93
`4.33
`5.88
`7.55
`9.33
`11.18
`
`CI,
`jg"deg"K
`0.000071
`—
`0.000146
`i
`0.000226
`—
`7
`—
`0.000317
`i
`i
`—
`—
`0.00054
`0.00084
`0.00126
`—
`i
`0.0033
`—
`—
`0.0070
`0 0134
`0.0245
`0.0571
`0.0992
`0.1467
`0.189
`0.230
`0.267
`0.300
`
`H—HD
`jg"
`0.000035
`—
`0.000143
`i
`0.000329
`—
`g
`fl
`0.000599
`—
`4
`i
`‘
`0.00145
`0.00281
`0.00489
`—
`4
`0.0156
`i
`—
`0.040
`0.090
`0 182
`0.581
`1.358
`2.592
`4.27
`6.37
`8.86
`11.69
`
`T
`“K
`1
`2
`3
`4
`6
`8
`10
`15
`20
`25
`30
`40
`50
`60
`70
`80
`90
`100
`
`CF
`jg"dea"K
`0.0000074
`0.0000158
`0.0000262
`0.0000393
`0.0000783
`0.000141
`0.000234
`0.000725
`0.00189
`0.00421
`0.00783
`0.0184
`0.0332
`0.0483
`0.0605
`0.0715
`0.0810
`0.0888
`
`H — Hu
`jg"
`0.0000037
`0.0000152
`0.0000360
`0.0000685
`0.000182
`0.000396
`0.000765
`0.00297
`0.00927
`0.0237
`0.0534
`0.181
`0.436
`0.843
`1.39
`2.05
`2.81
`3.66
`
`CF
`jg"dcg"K
`0.00001 1
`0.000028
`0.000058
`0.0001 1
`0.00029
`0.00096
`0.0025
`0.011
`0.026
`0.049
`0.076
`0.125
`0.171
`0.208
`0.236
`0.258
`0.277
`0.293
`
`H — H.,
`ix"
`0.000005
`0.000023
`0.000065
`0.00014
`0.00053
`0.0016
`0.0050
`0.034
`0.125
`0.31
`0.62
`1.62
`3.11
`5.01
`7.23
`9.70
`12.38
`15.24
`
`:rr;
`
`u
`
`Superconducting.
`In germanium the electronic specific heat is markedly dependent on impurities. The values given are for pure germanium (negligible electronic specific heat).
`a-lron is the form that is thermodynamically stable at low temperatures.
`It has the body—centered cubic lanice which is the basis of the ferritic steels.
`y-lron is stable between 910 and 1400°C. It has the lace-centered cubic structure which is the basis of the austenitic steels.Since pure y-iron is not stable at low temperatures
`the above values were calculated by application of the KoppyNeumann rule to experimental data on two austenitic Fe-Mn alloys and are of uncenain accuracy.
`Superconducting transition temperature.
`Superconducting transition temperature of mercury.
`Melting temperature of mercury.
`is markedly dependent on impurities. Values of the coefficient. ya, from zero to 2.4 X 10’5jg" deg’3 K have been reponed.
`In silicon the electronic specific heat. 'yT.
`The values in the above table are for pure silicon (y = 0).
`It has been shown (Barrett 1956. Hull & Rosenberg 1959) that sodium panially transforms at low temperatures from the normal body-centered cubic structure to close
`packed hexagonal. The transformation is ofthe manensitic type and is promoted by cold—working at the low temperatures. Inasmuch as none ofthe calorimetric measurements
`on sodium were accompanied by crystallographic analysis. the tabulated data below 100°K are to some degree ambiguous.
`Superconducting transition temperature of tin.
`Superconducting transition temperature of tantalum.
`
`Page 8 of 11
`
`12—105
`
`EXHIBIT A
`
`
`
`Page 8 of 11
`
`

`

`CON TANTS OF DEBYE-SOMMERFELD EQUATION
`
`C\ = yT + aTJ; a = lZn‘R/SO‘“; OéTéTmax; Tmax = maximum temperature to which the equation
`can be used with the limiting value of 9.
`
`EXHIBIT A
`
`Substance
`
`1057
`
`7
`
`jg“ deg"2 K
`50.4
`25
`0.32
`5.6
`28.3
`10.81
`”‘
`3.75
`15.8
`90
`15.1
`54
`251
`23
`120
`85
`911
`3-1.]
`48
`"
`5.65
`60
`31.5
`14.7
`71
`7
`96
`
`Metals
`Aluminum
`Beryllium
`Bismuih
`Cadmium
`Chromium
`Copper
`Germanium
`Gold
`Indium
`u-lmn
`Lead
`Magnesium
`tit-Manganese
`Mulyhdenum
`Nickel
`Niobium
`Palladium
`Plalinum
`Rhodium
`Silicon
`Silver
`Sndium"
`Tantalum
`Tlnluhiie)
`Tiianium
`Tungxlen
`Zinc
`Allnix
`11.3
`ConxianlanJ
`1011
`.‘\y‘lunu1d
`Other inurgamu \uhsianecs
`Diamond
`7
`lee
`i
`Pym
`i
`Organic suhuanees
`Glyplal
`LLICIIL‘
`Pnlplycnc
`
`—~
`i
`i
`
`mjgfllom" deg‘2 K
`1.36
`0.226
`0.067
`0.63
`1.47
`0.687
`L‘
`0.74
`1.81
`5.0
`3.1
`1.32
`13.8
`2.113
`7.0
`7.9
`10.5
`6.7
`4.9
`‘
`0.610
`1.37
`5.7
`1.75
`3.4
`13
`0.63
`
`6 9
`6.5
`
`—
`—
`i
`
`—
`—
`i
`
`10601
`
`jg" deg’4 K
`0.93
`0.138
`5.66
`2.69
`0.165
`0.746
`0.528
`2.19
`13.1
`0.349
`10.6
`1.19
`0.328
`0.238
`0.39
`0.64
`0.39
`0.72
`0.173
`0.263
`158
`21.4
`0.69
`2.21
`0.54
`0.16
`1.10
`
`0.56
`0.03
`
`(1.0152
`15.2
`3. 1-1
`
`27
`35
`63
`
`0“
`
`deg K
`425
`1160
`118
`186
`610
`344.5
`370
`165
`109
`464
`96
`406
`476
`440
`440
`320
`274
`240
`478
`640
`225
`158
`250
`195
`420
`405
`300
`
`384
`374
`
`2200
`1’92
`7
`
`—
`~
`i
`
`Tm“
`
`deg K
`4
`20
`2
`3
`4
`10
`2
`15
`2
`10
`4
`4
`12
`4
`4
`1
`4
`3
`4
`4
`4
`4
`4
`2
`10
`4
`4
`
`15
`20
`
`50
`10
`5
`
`4
`4
`4
`
`Supermnduciing,
`
`Page 9 of 11
`
`12-106
`
`EXHIBIT A
`
`
`
`Page 9 of 11
`
`

`

`THERMAL PROPERTIES OF PURE METALS
`From Handbook of Tables for Applied Engineering Science by R. E. 8011 and G. L. Tuvc, The Chemical Rubber Co. 1970
`At Atmospheric Pressure
`Liquid Metal
`
`A1 1003K
`A1 250C177°Fl
`Vapor pressure
`
`" alm
`10" atm 10'” atm 10
`Specific
`Thermal
`Coefi'. of
`heat *—
`Thermal
`conduc-
`linear
`Latent
`(liquid)
`conduc-
`Specific
`Specific
`tivity.
`expansion.
`heat of
`fusion,
`watts
`heat.
`heat,
`(x 10*6 )
`tivity.
`a12000°K
`Metal
`cal/g
`cm“C
`cal/g“C
`cal/g°C
`("0" watts/cmaC’ cal/3°C
`Boiling point temperatures, "K
`
`Aluminum 7
`95
`3.00
`0.115
`0.215
`25
`2.37
`0.26
`1,782
`1.333
`1.063
`Antimony
`38.5
`0.040
`0.050
`9
`0.185
`0.062
`1.007
`741
`612
`Beryllium
`324
`0.049
`0.436
`12
`2.18
`0.78
`1.793
`1,347
`1.085
`Bismuth
`12.4
`0.026
`0.030
`13
`0.084
`0.036
`1.155
`851
`677
`Cadmium
`13.2
`0.047
`0.055
`30
`0.93
`0.063
`655
`486
`388
`Chromium
`79
`0.046
`0.110
`6
`0.91
`0.224
`1.992
`1,530
`1,247
`Cobalt
`66
`0.057
`0.10
`12
`0.69
`0.164
`2.167
`1,652
`1.345
`Copper
`49
`0.061
`0.092
`16.6
`3.98
`0.118
`1.862
`1,391
`1.120
`Gold
`15
`0.026
`0.031
`14.2
`3.15
`0.0355
`2,023
`1.510
`1.211
`iridium
`33
`0.022
`0.031
`6
`1.47
`0.0434
`3.253
`2.515
`2,062
`Iron
`65
`0.052
`0.108
`12
`0.803
`0.197
`2,093
`1.594
`1,297
`Lead
`5.5
`0.028
`0.031
`29
`0.346
`0.033
`1.230
`889
`698
`Magnesium
`88.0
`0.016
`0.243
`25
`1.59
`0.32
`857
`638
`509
`Manganese
`64
`0.064
`0.114
`22
`—
`0.20
`1,495
`1.131
`913
`Mercury
`2.7
`0.029
`0.033
`—
`0.0839
`7
`393
`287
`227
`Molybdenum
`69
`0.033
`0.060
`5
`1.4
`0.089
`3.344
`2,558
`2,079
`Nickel
`71
`0.055
`0.106
`13
`0.899
`0.175
`2,156
`1.646
`1.343
`Niobium
`(Columbium)
`Osmium
`Platinum
`Plutonium
`Potassium
`Rhodium
`Selenium
`Silicon
`Silver
`Sodium
`Tantalum
`Thorium
`Tin
`Titanium
`Tungsten
`Uranium
`Vanadium
`Zinc
`
`7
`1.03
`1.58
`i
`4.83
`3.45
`——
`1.32
`0.396
`1.69
`—
`1.79
`1.58
`
`0.552
`7
`0.79
`
`7
`—
`—
`7
`4.50
`i
`0.592
`—
`0.85
`0.312
`2.35
`—
`7
`1.32
`
`68
`34
`24
`3
`14.5
`50
`16
`430
`26.5
`27
`41
`17
`14.1
`100
`46
`12
`98
`27
`
`'
`
`0.045
`7
`0.024
`0.019
`0.150
`7
`7
`0.062
`0.045
`0.234
`0.026
`0.024
`0.039
`0.072
`0.021
`0.022
`0.061
`0.063
`
`0.064
`0.031
`0.032
`0.032
`0.180
`0.058
`0.077
`0.17
`0.057
`0.293
`0.034
`0.03
`0.054
`0.125
`0.032
`0.028
`0.116
`0.093
`
`7
`5
`9
`54
`83
`8
`37
`3
`19
`70
`6.5
`12
`20
`8.5
`4.5
`13.4
`8
`35
`
`A
`
`0.52
`0.61
`0.73
`0.08
`0.99
`1.50
`0.005
`0.835
`4.27
`1.34
`0.54
`0.41
`0.64
`0.2
`1.78
`0.25
`0.60
`1.15
`
`0.083
`0.039
`0.043
`0.041
`7
`0.092
`—
`0.217
`0.068
`—
`0.040
`0.047
`0.058
`0.188
`0.040
`0.048
`0.207
`—
`
`3.523
`—
`2.817
`2.200
`606
`7
`7
`2,340
`1.582
`701
`3,959
`3.251
`1,857
`2,405
`4,139
`2,861
`2,525
`752
`
`2.721
`7
`2,155
`1,596
`430
`—
`7
`1.749
`1.179
`504
`3.052
`2,407
`1,366
`1,827
`3,228
`2.128
`1.948
`559
`
`2.232
`7
`1.757
`1.252
`335
`7
`7
`1.427
`952
`394
`2,495
`1,919
`1080
`1.484
`2.656
`1.699
`1,591
`449
`
`‘ (watts/cm°C) x 860.421 = Cal(gm)hr‘ 'cm'l “C”
`(watts/cm°C) x 57818 = Btu hr"1t""F.
`
`THERMAL CONDUCTIVITY OF DIELECTRIC CRYSTALS
`
`Conductivity
`mW~cm"‘K
`
`
`Conductivity
`mW-cm'1-K
`
`
`Name
`
`Remarks
`
`83 K
`
`273 K
`
`Name
`
`Remarks
`
`83 K
`
`273 K
`
`Marble
`Do
`Do
`Calcite
`
`D0
`
`Sylvite
`KCI
`KCl
`NaCl
`NaCl
`Rock salt
`Sylvite
`KCl
`KCl
`KCI
`KBr
`NaBr
`K1
`KF
`NaF
`Rb!
`RbC1
`
`Small crystals, 99.9070 CaCO,
`99.99% CaCO,
`Large crystals
`Main crystal axis perpendicu-
`1ar to rod axis
`Main crystal axis parallel to
`rod axis
`Natural crystal
`Pressed at 8000 atm
`From a melt
`Do
`Pressed at 8000 atm
`Do
`Do
`Pressed at 1250 aim
`Pressed at 2500 atm
`Pressed at 8900 atm
`Pressed at 8000 atm
`Do
`Do
`Do
`Do
`Do
`D0
`
`42
`54
`50
`180
`
`293
`
`159
`314
`402
`343
`251
`180
`343
`243
`368
`402
`92
`50
`121
`234
`519
`59
`29
`
`33
`38
`33
`46
`
`54
`
`75
`88
`92
`92
`71
`63
`84
`75
`92
`96
`38
`25
`29
`71
`105
`33
`21
`
`Do
`Do
`Do
`Pressed at 8000 atm
`Do
`Do
`Do
`Do
`Do
`Do
`Do
`
`90% KBr, 10% KCl
`75% KBr, 25% KCl
`50% KBr. 50% KCl
`25°70 KBr, 75 "70 KCl
`10% KBr. 90°70 KCl
`50% KCl, 50°70 NaCl
`KNO,
`Mercuric chloride
`NH.C1
`NHiBr
`Ba(NOJ)1
`Copper sulfate
`Magnesium sulfate
`K.Fe(CN‘)
`Chrom alum
`Potassium alum
`Potassium bichromate Main crystal axis perpendicu-
`1ar to rod axis
`Main crystal axis parallel to
`rod axis
`Mineral
`Do
`Do
`Do
`
`Do
`
`Topaz
`Zincblende
`Beryll
`Tourmaline
`
`50
`29
`25
`46
`80
`188
`17
`17
`109
`67
`33
`29
`25
`17
`13
`l3
`17
`
`17
`
`63
`88
`38
`
`29
`21
`25
`33
`50
`71
`21
`13
`25
`25
`13
`21
`25
`17
`21
`21
`21
`
`17
`
`234
`264
`84
`46
`
`Page 10 of 11
`
`12'107
`
`EXHIBIT A
`
`
`
`Page 10 of 11
`
`

`

`THERMAL CONDUCTIVITY OF CERTAIN METALS
`
`From NSRDS—NBS 8
`R. W. Powell, C. Y. Ho, and P. E. Liley
`The thermal conductivity, k, is given in the units W-crn-cm’LK".
`To convert to cal~crn-cm‘2-h“-K‘l multiply the values listed in the tables by 860,421.
`To convert to Btu-ft-ft‘Z-h‘ l-°F“ multiply the values listed in the tables by 57.818.
`p0 is the residual electrical resistivity and the value of p at 4.2°K is used approximately as p0.
`Aluminum
`Copper
`Gold
`Iron
`Manganin
`Platinum
`99.996+%
`99.999+%
`99.999+%
`99.998+%
`99.999%
`pa = 0.00315 pa = 0.000851
`pa = 0.0055
`pa= 0.0327
`pa = 0.0106
`uohm cm
`pohm cm
`pohm cm
`pohm em
`pohm cm
`0
`0
`0
`0
`0
`7.8
`28.7
`4.4
`0.75
`2.31
`15.5
`57.3
`8.9
`1.49
`4.60
`23.2
`85.5
`13.1
`2.24
`6.79
`30.8
`113
`17.1
`2.97
`8.8
`
`0
`0.0007
`0.0018
`0.0031
`0.0046
`
`T,K
`0
`1
`2
`3
`4
`
`I B I T A
`
`Silver
`99.999+%
`pa = 0.00062
`uohm cm
`0
`39.4
`78.3
`115
`147
`
`Tungsten
`99.99+%
`pa = 0.0017
`uohm cm
`0
`14.4
`28.7
`42.6
`55.6
`
`38.1
`45.1
`51.5
`57.3
`62.2
`
`66.1
`69.0
`70.8
`71.5
`71.3
`
`70.2
`68.4
`63.5
`56.5
`40.0
`
`28.5
`21.0
`16.0
`12.5
`10.0
`
`6.7
`5.0
`4.0
`3.4
`3.0
`2.47
`2.37
`
`2.35
`2.36
`2.37
`2.40
`2.40
`
`2.37
`2.32
`2.26
`2.20
`2.13
`
`138
`159
`177
`189
`195
`
`196
`193
`185
`176
`166
`
`156
`145
`124
`105
`68
`
`43
`29
`20.5
`15.3
`12.2
`
`8.5
`6.7
`5.7
`5.14
`4.83
`4.28
`4.13
`
`4.04
`4.01
`3.98
`3.94
`3.92
`
`3.88
`3.83
`3.77
`3.71
`3.64
`
`[093]“
`[0.96]
`[0.99]
`[1.02]
`
`3.57
`3.50
`3.42
`(3.34)]
`
`20.7
`23.7
`26.0
`27.5
`28.2
`
`28.2
`27.7
`26.7
`25.5
`24.1
`
`22 6
`20.9
`17.7
`15 0
`10 2
`
`7.6
`6.1
`5.2
`4.6
`4.2
`
`3.8
`3.58
`3.52
`3.48
`3.45
`3.35
`3.27
`
`3.20
`3.18
`3.15
`3.13
`3.12
`
`3.09
`3.04
`2.98
`2.92
`2.85
`
`(2.78)
`(2.71)
`(2.62)
`(2.51)
`
`5
`6
`7
`8
`9
`
`10
`11
`12
`13
`14
`
`15
`16
`18
`20
`25
`
`30
`35
`40
`45
`50
`
`60
`70
`80
`90
`100
`150
`200
`
`250
`273
`300
`350
`400
`
`500
`600
`700
`800
`900
`
`1000
`1100
`1200
`1300
`1400
`
`1500
`1600
`
`0.0062
`0.0078
`0.0095
`0.0111
`0.0128
`
`0.0145
`0.0162
`0.0180
`0.0197
`0.0215
`
`0.0232
`0.0250
`0.0285
`0.0322
`0.0410
`
`0.0497
`0.0583
`0.067
`0.075
`0.082
`
`0.097
`0.110
`0.120
`0.127
`0.133
`0.156
`0.172
`
`0.193
`0.206
`0.222
`0.250
`(0.279)
`
`(0.338)
`(0.397)
`
`'
`
`3.71
`4.42
`5.13
`5.80
`6.45
`
`7.05
`7.62
`8.13
`8.58
`8.97
`
`9.30
`9.56
`9.88
`9.97
`9.36
`
`8.14
`6.81
`5.55
`4.50
`3.72
`
`2.65
`2.04
`1.68
`1.46
`1.32
`1.04
`0.94
`
`0.865
`0.835
`0.803
`0.744
`0.694
`
`0.613
`0.547
`0.487
`0.433
`0.380
`
`0.326
`0.297
`0.282
`0.299
`0.309
`
`0.318
`(0.327)
`
`172
`187
`193
`190
`181
`
`168
`154
`139
`124
`109
`
`96
`85
`66
`51
`29.5
`
`19.3
`13.7
`10.5
`8.4
`7.0
`
`5.5
`4.97
`4.71
`4.60
`4.50
`4.32
`4.30
`
`4.28
`4.28
`4.27
`4.24
`4.20
`
`4.13
`4.05
`3.97
`3.89
`3.82
`
`(3.74)
`(3.66)
`(3.58)
`
`10.5
`11.8
`12.6
`12.9
`12.8
`
`12.3
`11.7
`10.9
`10.1
`9.3
`
`8.4
`7.6
`6.1
`4.9
`3.15
`
`2.28
`1.80
`1.51
`1.32
`1.18
`
`1.01
`0.90
`0.84
`0.81
`0.79
`0.762
`0.748
`
`0.737
`0.734
`0.730
`0.726
`0.722
`
`0.719
`0.720
`0.723
`0.729
`0.737
`
`0.748
`0.760
`0.775
`0.791
`0.807
`
`0.824
`0.842
`0.860
`0.877
`(0.895)
`
`(0.913)
`
`67.1
`76.2
`82.4
`35.3
`35.1
`
`82.4
`77.9
`72.4
`66.4
`60.4
`
`54.8
`49.3
`40.0
`32.6
`20 4
`
`13.1
`8.9
`6.5
`5.07
`4.17
`
`3.18
`2.76
`2.56
`2.44
`2.35
`2.10
`1.97
`
`1.86
`1.82
`1.78
`1.70
`1.62
`
`1.49
`1.39
`1.33
`1.28
`1.24
`
`1.21
`1.18
`1.15
`1.13
`1.11
`
`1.09
`1.07
`1.05
`1.03
`1.02
`
`1.00
`0.98
`0.96
`0.94
`0.925
`0.915
`0.905
`0.900
`(0.895)
`
`" In the table the third significant figure is given only for the purpose of comparison and for smoothness and is not indicative of
`the degree of accuracy.
`‘" Values in square brackets are for liquid state.
`T Values in parentheses are extrapolated.
`I Estimated.
`
`Page 11 of 11
`
`12-108
`
`EXHIBIT A
`
`
`
`Page 11 of 11
`
`