Elastic properties of the elements (data page)

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Elastic properties describe the reversible deformation (elastic response) of a material to an applied stress. They are a subset of the material properties that provide a quantitative description of the characteristics of a material, like its strength.

Contents

Material properties are most often characterized by a set of numerical parameters called moduli. The elastic properties can be well-characterized by the Young's modulus, Poisson's ratio, Bulk modulus, and Shear modulus or they may be described by the Lamé parameters.

Young's modulus

Young's modulus E(GPa)
numbersymbolnameuseWEL [1] CRC [2]
3Li lithium 4.94.9
4Be beryllium 287287
11Na sodium 1010
12Mg magnesium 4545
13Al aluminium 7070
14Si silicon 130–188130–188
20Ca calcium 2020
21Sc scandium 74.47474.4
22Ti titanium 116116
23V vanadium 128128
24Cr chromium 279279
25Mn manganese 198198
26Fe iron 211211
27Co cobalt 209209
28Ni nickel 200200
29Cu copper 130130
30Zn zinc 108108
33As arsenic 88
34Se selenium 1010
37Rb rubidium 2.42.4
39Y yttrium 63.56463.5
40Zr zirconium 6868
41Nb niobium 105105
42Mo molybdenum 329329
44Ru ruthenium 447447
45Rh rhodium 275275 (possibly incorrect [3] )
46Pd palladium 121121
47Ag silver 8383
48Cd cadmium 5050
49In indium 1111
50Sn tin 5050
51Sb antimony 5555
52Te tellurium 4343
55Cs caesium 1.71.7
56Ba barium 1313
57La lanthanum (α form) 36.637(α form) 36.6
58Ce cerium (γ form) 33.634(γ form) 33.6
59Pr praseodymium (α form) 37.337(α form) 37.3
60Nd neodymium (α form) 41.441(α form) 41.4
61Pm promethium (α form) est. 4646(α form) est. 46
62Sm samarium (α form) 49.750(α form) 49.7
63Eu europium 18.21818.2
64Gd gadolinium (α form) 54.855(α form) 54.8
65Tb terbium (α form) 55.756(α form) 55.7
66Dy dysprosium (α form) 61.461(α form) 61.4
67Ho holmium 64.86564.8
68Er erbium 69.97069.9
69Tm thulium 74.07474.0
70Yb ytterbium (β form) 23.924(β form) 23.9
71Lu lutetium 68.66968.6
72Hf hafnium 7878
73Ta tantalum 186186
74W tungsten 411411
75Re rhenium 463463
77Ir iridium 528528
78Pt platinum 168168
79Au gold 7878
81Tl thallium 88
82Pb lead 1616
83Bi bismuth 3232
90Th thorium 7979
92U uranium 208208
94Pu plutonium 9696

Poisson's ratio

Poisson's ratio (dimensionless)
numbersymbolnameuseWEL [1] CRC [2]
4Be beryllium 0.0320.032
12Mg magnesium 0.290.29
13Al aluminium 0.350.35
20Ca calcium 0.310.31
21Sc scandium 0.2790.280.279
22Ti titanium 0.320.32
23V vanadium 0.370.37
24Cr chromium 0.210.21
26Fe iron 0.290.29
27Co cobalt 0.310.31
28Ni nickel 0.310.31
29Cu copper 0.340.34
30Zn zinc 0.250.25
34Se selenium 0.330.33
38Sr strontium 0.280.28
39Y yttrium 0.2430.240.243
40Zr zirconium 0.340.34
41Nb niobium 0.400.40
42Mo molybdenum 0.310.31
44Ru ruthenium 0.300.30
45Rh rhodium 0.260.26
46Pd palladium 0.390.39
47Ag silver 0.370.37
48Cd cadmium 0.300.30
50Sn tin 0.360.36
57La lanthanum (α form) 0.2800.28(α form) 0.280
58Ce cerium (γ form) 0.240.24(γ form) 0.24
59Pr praseodymium (α form) 0.2810.28(α form) 0.281
60Nd neodymium (α form) 0.2810.28(α form) 0.281
61Pm promethium (α form) est. 0.280.28(α form) est. 0.28
62Sm samarium (α form) 0.2740.27(α form) 0.274
63Eu europium 0.1520.150.152
64Gd gadolinium (α form) 0.2590.26(α form) 0.259
65Tb terbium (α form) 0.2610.26(α form) 0.261
66Dy dysprosium (α form) 0.2470.25(α form) 0.247
67Ho holmium 0.2310.230.231
68Er erbium 0.2370.240.237
69Tm thulium 0.2130.210.213
70Yb ytterbium (β form) 0.2070.21(β form) 0.207
71Lu lutetium 0.2610.260.261
72Hf hafnium 0.370.37
73Ta tantalum 0.340.34
74W tungsten 0.280.28
75Re rhenium 0.300.30
76Os osmium 0.250.25
77Ir iridium 0.260.26
78Pt platinum 0.380.38
79Au gold 0.440.44
81Tl thallium 0.450.45
82Pb lead 0.440.44
83Bi bismuth 0.330.33
90Th thorium 0.270.27
92U uranium 0.230.23
94Pu plutonium 0.210.21

Bulk modulus

Bulk modulus K(GPa)
numbersymbolnameuseWEL [1] CRC [2] other
3Li lithium 1111
4Be beryllium 130130
5B boron (β form) 185320β 185(7) GPa, α 224(15) GPa [4]
6C carbon 3333
11Na sodium 6.36.3
12Mg magnesium 4545
13Al aluminium 7676
14Si silicon 100100
15P phosphorus 1111
16S sulfur 7.77.7
17Cl chlorine (liquid) 1.1
19K potassium 3.13.1
20Ca calcium 1717
21Sc scandium 56.65756.6
22Ti titanium 110110
23V vanadium 160160
24Cr chromium 160160
25Mn manganese 120120
26Fe iron 170170
27Co cobalt 180180
28Ni nickel 180180
29Cu copper 140140
30Zn zinc 7070
31Ga gallium 5656 average [5]
32Ge germanium 75.875.8 [6]
33As arsenic 2222
34Se selenium 8.38.3
35Br bromine 1.9
37Rb rubidium 2.52.5
39Y yttrium 41.24141.2
41Nb niobium 170170
42Mo molybdenum 230230
44Ru ruthenium 220220
45Rh rhodium 380380 (possibly incorrect [3] )
46Pd palladium 180180
47Ag silver 100100
48Cd cadmium 4242
50Sn tin 5858
51Sb antimony 4242
52Te tellurium 6565
53I iodine 7.77.7
55Cs caesium 1.61.6
56Ba barium 9.69.6
57La lanthanum (α form) 27.928(α form) 27.9
58Ce cerium (γ form) 21.522(γ form) 21.5
59Pr praseodymium (α form) 28.829(α form) 28.8
60Nd neodymium (α form) 31.832(α form) 31.8
61Pm promethium (α form) est. 3333(α form) est. 33
62Sm samarium (α form) 37.838(α form) 37.8
63Eu europium 8.38.38.3
64Gd gadolinium (α form) 37.938(α form) 37.9
65Tb terbium (α form) 38.738.7(α form) 38.7
66Dy dysprosium (α form) 40.541(α form) 40.5
67Ho holmium 40.24040.2
68Er erbium 44.44444.4
69Tm thulium 44.54544.5
70Yb ytterbium (β form) 30.531(β form) 30.5
71Lu lutetium 47.64847.6
72Hf hafnium 110110
73Ta tantalum 200200
74W tungsten 310310
75Re rhenium 370370
76Os osmium 462462 [7]
77Ir iridium 320320
78Pt platinum 230230
79Au gold 180180
80Hg mercury 25
81Tl thallium 4343
82Pb lead 4646
83Bi bismuth 3131
90Th thorium 5454
92U uranium 100100

Shear modulus

Shear modulus G(GPa)
numbersymbolnameuseWEL [1] CRC [2]
3Li lithium 4.24.2
4Be beryllium 132132
11Na sodium 3.33.3
12Mg magnesium 1717
13Al aluminium 2626
19K potassium 1.31.3
20Ca calcium 7.47.4
21Sc scandium 29.12929.1
22Ti titanium 4444
23V vanadium 4747
24Cr chromium 115115
26Fe iron 8282
27Co cobalt 7575
28Ni nickel 7676
29Cu copper 4848
30Zn zinc 4343
34Se selenium 3.73.7
38Sr strontium 6.16.1
39Y yttrium 25.62625.6
40Zr zirconium 3333
41Nb niobium 3838
42Mo molybdenum 120120
44Ru ruthenium 173173
45Rh rhodium 150150
46Pd palladium 4444
47Ag silver 3030
48Cd cadmium 1919
50Sn tin 1818
51Sb antimony 2020
52Te tellurium 1616
56Ba barium 4.94.9
57La lanthanum (α form) 14.314(α form) 14.3
58Ce cerium (γ form) 13.514(γ form) 13.5
59Pr praseodymium (α form) 14.815(α form) 14.8
60Nd neodymium (α form) 16.316(α form) 16.3
61Pm promethium (α form) est. 1818(α form) est. 18
62Sm samarium (α form) 19.520(α form) 19.5
63Eu europium 7.97.97.9
64Gd gadolinium (α form) 21.822(α form) 21.8
65Tb terbium (α form) 22.122(α form) 22.1
66Dy dysprosium (α form) 24.725(α form) 24.7
67Ho holmium 26.32626.3
68Er erbium 28.32828.3
69Tm thulium 30.53130.5
70Yb ytterbium (β form) 9.99.9(β form) 9.9
71Lu lutetium 27.22727.2
72Hf hafnium 3030
73Ta tantalum 6969
74W tungsten 161161
75Re rhenium 178178
76Os osmium 222222
77Ir iridium 210210
78Pt platinum 6161
79Au gold 2727
81Tl thallium 2.82.8
82Pb lead 5.65.6
83Bi bismuth 1212
90Th thorium 3131
92U uranium 111111
94Pu plutonium 4343

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References

  1. 1 2 3 4 Values from WebElements presumably are also at room temperature. As quoted at http://www.webelements.com/ from these sources:
    • A.M. James and M.P. Lord in Macmillan's Chemical and Physical Data, Macmillan, London, UK, 1992.
    • G.W.C. Kaye and T. H. Laby in Tables of physical and chemical constants, Longman, London, UK, 15th edition, 1993.
    • G.V. Samsonov (Ed.) in Handbook of the physicochemical properties of the elements, IFI-Plenum, New York, USA, 1968.
    • D.R. Lide, (Ed.) in Chemical Rubber Company handbook of chemistry and physics, CRC Press, Boca Raton, Florida, USA, 79th edition, 1998.
  2. 1 2 3 4 Values from CRC refer to room temperature. As quoted in an online version of:
    • David R. Lide (ed), CRC Handbook of Chemistry and Physics, 84th Edition. CRC Press. Boca Raton, Florida, 2003; Section 4, Properties of the Elements and Inorganic Compounds; Physical Properties of the Rare Earth Metals
    which further refers to:
    • Scott, T., in Handbook on the Physics and Chemistry of Rare Earths, Vol. 1, Gschneidner, K.A., Jr. and Eyring, L., Eds., North-Holland Physics, Amsterdam, 1978, 591.
  3. 1 2 Cardarelli, François (2018). Materials Handbook. p. 567. doi:10.1007/978-3-319-38925-7_4.
  4. Nelmes, R. J.; Loveday, J. S.; Allan, D. R.; Besson, J. M.; Hamel, G.; Grima, P.; Hull, S. (1993). "Neutron- and x-ray-diffraction measurements of the bulk modulus of boron". Physical Review B. 47 (13): 7668–7673. Bibcode:1993PhRvB..47.7668N. doi:10.1103/PhysRevB.47.7668. PMID   10004773.
  5. "Materials Science Articles | Latest Science Articles | Scientific Development". AZoM.com. Retrieved 30 December 2022.
  6. "Germanium (Ge) bulk modulus". Group IV Elements, IV-IV and III-V Compounds. Part a - Lattice Properties. Landolt-Börnstein - Group III Condensed Matter. 2001. pp. 1–6. doi:10.1007/10551045_235. ISBN   3-540-64070-3.
  7. H. Cynn; J. E. Klepeis; C.-S. Yoo; D. A. Young (2002). "Osmium has the Lowest Experimentally Determined Compressibility". Physical Review Letters. 88, 135701 (13): 135701. Bibcode:2002PhRvL..88m5701C. doi:10.1103/PhysRevLett.88.135701. PMID   11955108. Archived from the original on 2006-01-10.

See also