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[Technical Data]  Quantifiers, Unit Symbols, Chemical Symbols and Symbols of Elements   Excerpts from JIS Z 8202  [Technical Data]
    Calculation of Cubic Volume and Weight / Physical Properties of Materials  Calculation of Area, Center of Gravity and Geometrical Moment of Inertia



 ■Name of Elements and Atomic Symbols
 Atomic
 Number  Name  Symbol  Cross Section  A    e      I    Z=I/e     Cross Section  A      e      I    Z=I/e
 53  Iodine  I
 54  Xenon  Xe
 55  Cesium  Cs
 56  Barium  Ba
 57  Lanthanum  La            h            h      bh 3   bh 2             a                 Q      Q
                                                                                                    2
 58  Cerium  Ce                     bh     2      12     6                     Qab     a    ba =0.7854ba 3  ba =0.7854ba 2
                                                                                             3
 59  Praseodymium  Pr       e                                                               4      4
 60  Neodymium  Nd                                                b
 61  Promethium  Pm     b
 62  Samarium  Sm
 63  Europium  Eu
 64  Gadolinium  Gd
 65  Terbium  Tb                                                  2                  e 1    Q
                                                                                               8
 66  Dysprosium  Dy           h            h      h 4    h 3      e        r         =0.4244r  ( 8  - 9Q) r  4  Z 1=0.2587r  3
 67  Holmium  Ho            e       h 2    2      12     6                      Q 2 r
                                                                                2
 68  Erbium  Er                                                   1   2r             e 2    =0.1098r  4  Z 2=0.1908r  3
 69  Thulium  Tm        h                                         e
 70  Ytterbium  Yb                                                                   =0.5756r
 71  Lutetium  Lu
 72  Hafnium  Hf
 73  Tantalum  Ta
 74  Tungsten  W              e                                                      e 1
 75  Rhenium  Re                           2      h 4      2      2  e     r         =0.4244r      Z 1=0.1296r 3
                                                          3
 76  Osmium  Os                     h 2    2  h   12  0.11793h = h 3            Q 2 r        0.055r 4
                                                                                4
                                                           12
 77  Iridium  Ir       h    h                                                        e 2           Z 2=0.0956r 3
 78  Platinum  Pt                                                 1  e  r            =0.5756r
 79  Gold  Au
 80  Mercury  Hg
 81  Thallium  Tl
 82  Lead  Pb                                                        b
 83  Bismuth  Bi
 84  Polonium  Po     e        h    bh     2      bh 3   bh 2                          H    b      b
                                                                                                     3
                                                                                              3
 85  Astatine  At                   2      3 h    36     24                    b(H-h)  2    12 (H -h ) 3  6H  (H -h ) 3
 86  Radon  Rn                                                           e
 87  Francium  Fr         b                                       h        H
 88  Radium  Ra
 89  Actinium  Ac
 90  Thorium  Th
 91  Protactinium  Pa    b
 92  Uranium  U                                                          e
 93  Neptunium  Np                     h  1  3b+2b1  6b +6bb 1+b 1 2  3  6b +6bb 1+b 1 2  2  a  A  2  2  A  A -a 4  1 A -a 4
                                                                                             4
                                                                                                     4
                                                 2
                                                       2
 94  Plutonium  Pu   e        h   (2b+b1)  2  3  M  2b+b1  h  36(2 b+b 1)  h  12(3 b+2b1)  h  A -a  2  12  6  A
 95  Americium  Am
 96  Curium  Cm    b1           1 b                                  A
 97  Berkelium  Bk  2    b     2
 98  Californium  Cf
 99  Einsteinium  Es
 100  Fermium  Fm                                                  a                               4 4
 101  Mendelevium  Md                                                                              A -a  2
                                                                                             4
 102  Nobelium  No                        3              5 3              e     2  2   2    A -a 4  12A
 103  Lawrencium  Lr          e           4 r =0.866r    8  r                  A -a    2  A  12    0.1179(A -a ) 4
                                                                                                      4
                                                                   A    A                          =  A
 Reference   This table is based on Appendix A(Names and Symbols of Elements)of   r  3  3
 ISO 31/8-1980(Amounts and Units of Physical Chemistry and Molecular   2  r  2  5 3  r =0.5413r 4
                                                  4
 Physics) and Appendix C(Names and Symbols of Radionuclides) of ISO   2  16
 31/9-1980(Amounts and Units of Atomic Physics and Nuclear Physics).  =2.598r  r            Q      32( d 2 ) 4
                                                                                                     4
                                                                                                     2
                                                                                              4
                      e                                5 3                 e  Q             64 (d -d ) 1 4  Q d -d 1
                                                                                              2
                                           r             r =0.5413r  3  d1      2  2   d 2
                                                         3
                               r
                                                                                2
                                                       16                  R   4  (d -d ) 1  2  Q    4  4
                                                                                                   Q R -r
                                                                                              4
                                                                                            = (R -r ) 4  = ×
                                                                                             4
                                                                      d2                            4  R
                                                                      d
                                                   r
                                                1+2 2 4                          Qd 2  a    1      1  4 3Q 4
                                                                                             4 3Q 4
                                                                               2
                                                                                                d
                                                                                                       d
                              r    2.828r 2  0.924r  2  6  0.6906r  3  e      a -           12( a - )  6a( a - 16 )
                      e                                                   a      4     2       16
                                                =0.6381r  4
                                                                      a
                         a
                                b
                               2  2                               d                         1 3Q   1 3Q
                                           a                                  2b(h-d)  h    12{ 16 d 4  6h{ 16 d 4
                                  0.8284a 2  b= 1+ 2  0.0547a 4  0.1095a 3  e  Q 2     2    +b(h -d ) 3  +b(h -d ) 3
                                                                                                     3
                                                                                              3
                                                                                                    3
                                                                                             3
                    e                    =0.4142a               b           h  +  4 d       +b (h-d)  }  +b (h-d)  }
                      b
                         b     2 b  2
                                                Qd 4  Qr  4  Qd  3  Qr 3  d1                1  3 Q  1  3 Q
                                                                                               4
                                                                                                      4
                                                         =
 ■How to Calculate the Weight  r       2   d     64  =  4  4  =0.0982d 4  3  d  2b(h-d)+  h  12 { 16  (d 1 -d ) 4  6h { 16 (d 1 -d ) 4
                                                        32
                                                                                              3
                                                                                                     3


                                    =
 Weight W[g]= Volume[cm 3 ]× Specific Gravity  e  Qr 2 Qd 4  2  =0.0491d  e   Q  2  2  2   +b (h -d 1) 3  +b (h -d 1) 3
                                                ≈0.05d  4  ≈0.1d  3  b      h  4 (d -d )   +b (h-d 1)  }  +b (h-d 1)  }
                                                                                                    3
                                                                                             3
                                                                                1
 [Ex.]Material:Mild Steel  d                    =0.7854r  4  =0.7854r  3
 D=Ø16 L=50mm the weight is:
                          r                               4    A : Sectional area    e : Distance of Center of Gravity    I : Geometrical
 FD=16   L=50mm the weight is:    r ( 1- )  e 1        0.0075r  Moment of Inertia    Z=I/e : Cross Section Coefficient
                                     Q
                                                         2
                                                         e
                                   2
                      e1             4   =0.2234r  0.0075r 4  =0.00966r  3
 Q  2                      90°  r  =0.2146r  2  e 2       3
 The specific gravity of W  =  4  D ×L×W   2  e  =0.7766r  ≈0.01r
 Q  2
 =  4  ×1.6 ×5×7.85
 ≈79[g]
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