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preface to fifteenth edition

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PHYSICAL PROPERTIES 5.137<br />

where the summation extends over all charges (electrons and nuclei) in the molecule. The numerical<br />

values ofthe dipole moment, expressed in the c.g.s. system ofunits, are in debye units, D, where<br />

1D 1018<br />

esu ofThe charge centimeters. conversion fac<strong>to</strong>r <strong>to</strong> SI units is<br />

30<br />

1D 3.335 64 10 C · m [coulomb-meter]<br />

Tables 5.17 and 5.18 contain a selected group ofcompounds for which the dipole moment is<br />

given. An extensive collection ofdipole moments (approximately 7000 entries) is contained in<br />

A. L. McClellan, Tables of Experimental Dipole Moments, W. H. Freeman, San Francisco, 1963. A<br />

critical survey of500 compounds in the gas phase is given by Nelson, Lide, and Maryott, NSRDS-<br />

NBS 10, Washing<strong>to</strong>n, D.C., 1967.<br />

5.6.4 Dielectric Constants<br />

Iftwo oppositely charged plates exist in a vacuum, there is a certain force ofattraction between<br />

them, as stated by Coulomb’s law:<br />

1 qq 1 2<br />

F ·<br />

2<br />

4 r<br />

where F is the force, in new<strong>to</strong>ns, acting on each of the charges q 1 and q 2 , r is the distance between<br />

the charges, is the dielectric constant ofthe medium between the plates, and 0 is the permittivity<br />

offree space. q 1 , q 2 are expressed in coulombs and r in meters. Ifanother substance, such as a<br />

solvent, is in the space separating these charges (or ions in a solution), their attraction for each other<br />

is less. The dielectric constant is a measure of the relative effect a solvent has on the force with<br />

which two oppositely charged plates attract each other. The dielectric constant is a unitless number.<br />

Dielectric constants for a selected group of inorganic and organic compounds are included in<br />

Tables 5.17 and 5.18. An extensive list has been compiled by Maryott and Smith, National Bureau<br />

Standards Circular 514, Washing<strong>to</strong>n, D.C., 1951.<br />

For gases the values of the dielectric constant can be adjusted <strong>to</strong> somewhat different conditions<br />

oftemperature and pressure by means ofthe equation<br />

( 1) t,p<br />

p<br />

<br />

( 1) 760[1 0.003 411(t 20)]<br />

20,1 atm<br />

where p is the pressure (in mmHg) and t is the temperature (in C). The errors associated with this<br />

equation probably do not exceed 0.02% for gases between 10 and 30C and for pressures between<br />

700 and 800 mm. The dielectric constants ofselected gases will be found in Table. 5.18.<br />

0<br />

5.6.5 Viscosity<br />

The dynamic viscosity, or coefficient of viscosity, ofa New<strong>to</strong>nian fluid is defined as the force per<br />

unit area necessary <strong>to</strong> maintain a unit velocity gradient at right angles <strong>to</strong> the direction offlow between<br />

two parallel planes a unit distance apart. The SI unit is pascal-second or new<strong>to</strong>n-second per meter<br />

2<br />

2<br />

squared [N·s·m ]. The c.g.s. unit ofviscosity is the poise [P]; 1cP 1mN·s·m . The dynamic<br />

viscosity decreases with the temperature approximately according <strong>to</strong> the equation: log <br />

A B/T. Values of A and B for a large number of liquids are given by Barrer, Trans. Faraday Soc.<br />

39:48 (1943).

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