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




          ■Greek Symbols                             ■Name of Elements and Atomic Symbols
          Uppercase  Lowercase  Pronunciation  Conventional Usage  Atomic  Name  Symbol  Atomic  Name  Symbol
                         alpha       Angle, Coefficient  Number            Number
                         beta        Angle, Coefficient  1  Hydrogen   H     53  Iodine     I
                         gamma       Angle, Weight Per Unit Area,  2  Helium  He  54  Xenon  Xe
                                     Relationship(Uppercase)  3  Lithium  Li  55  Cesium    Cs
                         delta       Small Change, Density, Displacement  4  Beryllium  Be  56  Barium  Ba
                         epsilon     Small Amount, Distortion  5  Boron  B   57  Lanthanum  La
                         zeta        Variable           6  Carbon      C     58  Cerium     Ce
                         eta         Variable           7  Nitrogen    N     59  Praseodymium  Pr
                         theta       Angle, Temperature, Time  8  Oxygen  O  60  Neodymium  Nd
                         iota                           9  Fluorine    F     61  Promethium  Pm
                         kappa       Radius of Gyration  10  Neon      Ne    62  Samarium   Sm
                         lambda      Wavelength, Characteristic Value  11  Sodium  Na  63  Europium  Eu
                         mu          Friction Coefficient  12  Magnesium  Mg  64  Gadolinium  Gd
                                     10 -6 (Micro)
                         nu          Frequency         13  Aluminum    Al    65  Terbium    Tb
                                                                             66
                                                                                            Dy
                                                                       Si
                                                                                 Dysprosium
                                                       14
                                                           Silicon
                         xi          Variable
                         omicron                       15  Phosphorous  P S  67  Holmium    Ho
                                                                                 Erbium
                                                       16
                                                           Sulfur
                                                                                            Er
                                                                             68
                         pi          Circle Ratio(3.14159...)  17  Chlorine  Cl  69  Thulium  Tm
                                     Angle
                                     Symbol of Product(Uppercase)  18  Argon  Ar  70  Ytterbium  Yb
                         rho         Radius, Density   19  Potassium   K     71  Lutetium   Lu
                         sigma       Stress, Standard Deviation  20  Calcium  Ca  72  Hafnium  Hf
                                     Summation(Uppercase)  21  Scandium  Sc  73  Tantalum   Ta
                         tau         Time Constant, Time, Torque  22  Titanium  Ti  74  Tungsten  W
                         upsilon                       23  Vanadium    V     75  Rhenium    Re
                         phi         Angle, Function, Diameter  24  Chromium  Cr  76  Osmium  Os
                         chi                           25  Manganese   Mn    77  Iridium    Ir
                         psi         Angle, Function   26  Iron        Fe    78  Platinum   Pt
                         omega       Angular Verocity=2πf  27  Cobalt  Co    79  Gold       Au
                                     Ohm:Unit of Electric  28  Nickel  Ni    80  Mercury    Hg
                                     Resistance(Uppercase)  29  Copper  Cu   81  Thallium   Tl
          Reference         unless otherwise specified, lowercase letters are the norm.  30  Zinc  Zn  82  Lead  Pb
                                                           Gallium
                                                                                 Bismuth
                                                                       Ga
                                                                             83
                                                       31
                                                                                            Bi
          ■Characteristics of Materials                32  Germanium   Ge    84  Polonium   Po
                                                                       As
                                                                             85
                                                                                 Astatine
                                                       33
                                                                                            At
                                                           Arsenic
                              Thermal Expansion        34  Selenium    Se    86  Radon      Rn
                      Specific            Young's Modulus  35  Bromine  Br   87  Francium   Fr
             Material  Gravity  Coefficient            36  Krypton     Kr    88  Radium     Ra
                                 ×10 -6 /˚C  {Kgf/mm 2 }  37  Rubidium  Rb   89  Actinium   Ac
          Mild Steel     7.85      11.7        21000   38  Strontium   Sr    90  Thorium    Th
          NAK80          7.8       12.5        20500   39  Yttrium     Y Zr  91  Protactinium  Pa
                                                                                            U
                                                                                 Uranium
                                                           Zirconium
                                                                             92
                                                       40
          SKD11          7.85      11.7        21000   41  Niobium     Nb    93  Neptunium  Np
          SKD61          7.75      10.8        21000   42  Molybdenum  Mo    94  Plutonium  Pu
                                                                                 Americium
                                                                                            Am
                                                                       Tc
                                                                             95
                                                           Technetium
                                                       43
          SKH51          8.2       10.1        22300   44  Ruthenium   R     96  Curium     Cm
          Carbide V30  14.1        6.0         56000   45  Rhodium     Rh    97  Berkelium  Bk
                                                           Palladium
                                                                       Pd
                                                                             98
                                                       46
                                                                                            Cf
                                                                                 Californium
          Carbide V40  13.9        6.0         54000   47  Silver      Ag    99  Einsteinium  Es
          Cast Iron      7.3    9.2~11.8    7500~ 10500  48  Cadmium   Cd   100  Fermium    Fm
                                                                                            Md
                                                                       In
                                                                            101
                                                           Indium
                                                                                 Mendelevium
                                                       49
          SUS304         8.0       17.3        19700   50  Tin         Sn   102  Nobelium   No
          SUS440C        7.78      10.2        20400   51  Antimony    Sb   103  Lawrencium  Lr
                                                       52
                                                                       T
                                                           Tellurium
          Oxygen Free Coppers C1020    8.9  17.6  11700  Reference   This table is based on Appendix A(Names and Symbols of Elements)of
          6/4 Brass C2801    8.4   20.8        10300       ISO 31/8-1980(Amounts and Units of Physical Chemistry and Molecular
          Beryllium Copper C1720    8.3  17.1  13000       Physics) and Appendix C(Names and Symbols of Radionuclides) of ISO
          Aluminum A1100    2.7    23.6        6900        31/9-1980(Amounts and Units of Atomic Physics and Nuclear Physics).
          Duralumin A7075    2.8   23.6        7200
          Titanium       4.5       8.4         10600
          ■How to Calculate the Volume
             Solid   Volume V    Solid   Volume V   Solid   Volume V    Solid   Volume V
          Turncated Cylinder  Oval Ring          Spherical Segment   Spherical Belt
                                                               2
                     Q 2              d            h      V= 2 3 Qr h    b
                      d h
                                                                                Qh
           h2  h  h1  V= 4  h1+h2      V= Q 2 d 2 a 2 +b 2                    V= 6 (3a +3b +h ) 2
                                                                                  2
                                                                                    2
                      d (
                    = Q 2   2 )  b       4   2          r       2     h
                     4
               d                                           =2.0944r h   a
                                   a
          Pyramid            Cross Cylinder      Torus    V=2Q Rr 2  Barrel   When the circumference makes
                                                              2
                   V= h A=  h arn                     R                       a curve equal to the circular arc,
                        6
                     3
                   A=Area of Base  R ,                   r  =19.739Rr  2        QR  2  2
                                              d
                h                     d  V= d (R+R ’ - )              d      D  V= 12  (2D +d )
                                        Q 2
                   r=Radius of inscribed circle  4  3  d
             a     a=Length of a side of a regular polygon  R  D  = Q 2 Dd 2  R  When the circumference makes
                                                             4
                   n=Number of the sides of a regular polygon  =2.4674Dd 2    a curve equal to a parabolic line,
                                                                                   2
                                                                              V=0.209R(2D Dd+1/4d ) 2
          Spherical Crown  Qh 2  Hollow(Cylinder)  Circular Cone     ■How to Calculate the Weight
                   a=  3  (3r-h)         Q h(D -d )
                                              2
                                            2
                                                              r h
                r               d  t   V= 4               V=  Q 2    Weight W[g]= Volume[cm 3 ]× Specific Gravity
                                                             3
           h        = Qh  (3a +h ) 2  h  =Qth(D-t)      h                     [Ex.]Material:Mild Steel
                        2
                      6
                a               D                    r     =1.0472r h
                                                                2
                   a is the radius.     =Qth(d+t)                                D=Ø16 L=50mm the weight is:
          Ellipsoid  4       Turncated Pyramid   Sphere                       L  FD=16   L=50mm the weight is:
                                                            4
                   V= 3  Qabc            h             r   V= Qr =4.1888r 3
                                                              3
                                                            3
                                                                                             2
                   In case of spheroid   h  V= 3  (A+a+ Aa)                      The specific gravity of W  = Q 4  D ×L×W
                   (b=c)               A.a=Area of                       D
            a  c  b  4  2              both ends     d     = d =0.5236d 3                =  Q  ×1.6 ×5×7.85
                                                            Q 3
                                                                                             2
                   V= 3  Qab                                 6                            4
                                                                                         ≈79[g]
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