Napierian

The iimnodified temi absorbance usually means this quantity, though some authors use the Napierian absorbance B = -hiT. The absorbance is so iisefiil because it nomially increases linearly with path length, /, tlirough the sample and with the concentration, c, of the absorbing species within the sample. The relationship is usually called Beer s law ... 

Systems of Logarithms. There are two common systems of logarithms in use (1) the natural (Napierian or hyperbolic) system which uses the base e = 2.71828. . . (2) the common (Briggsian) system which uses the base 10. 

Using napierian logarithms (loge = In), Equation (9.27) can be rewritten ... 

Napierian (natural) logarithm base Eulers constant... 

Napierian (natural) logarithm of pi, base e Briggsian (common logarithm of pi, base 10... 

Naphthyl)ethyl isocyanate, chiral derivatizing reagent, 6 76t 1-Naphthyl-Al-methylcarbamate, 17 84 Napierian absorbance, 23 126 Naples yellow, 14 792 Napping, of staple-fiber non woven fabrics, 17 515... 

Physicists usually prefer to use the Napierian absorption coefficient a(A)... 

Finally, the molecular absorption cross-section capture area of a molecule. Operationally, it can be calculated as the (Napierian) absorption coefficient divided by the number N of molecular entities contained in a unit volume of the absorbing medium along the light path ... 

The International Union of Pure and Applied Chemistry recommends that the definition should now be based on the ratio of the radiant power of incident radiation (Pq) to the radiant power of transmitted radiation (P). Thus, A = log(Po/P) = log T. In solution, Pq would refer to the radiant power of light transmitted through the reference sample. T is referred to as the transmittance. If natural logarithms are used, the quantity, symbolized by P, is referred to as the Napierian absorbance. Thus, B = ln(Po/P). The definition assumes that light reflection and light scattering are negligible. If not, the appropriate term for log(Po/P) is attenuance. See Beer-Lambert Law Absorption Coefficient Absorption Spectroscopy... 

First item in a series (for example, the first carbon linked to a carboxyl group). 2. Abbreviation for alpha particle. 3. Symbol for angle of optical rotation. 4. Symbol for degree of dissociation. 5. Symbol for electric polarizability of a molecule. 6. Often with a subscript number (i) the coefficient of [A] in the numerator of the generalized rate expression. 7. Symbol for is proportional to. 8. Symbol for Napierian absorption coefficient. 9. In brackets, symbol for specific optical rotation. 

The second letter in the Greek alphabet hence, used to denote the second item in a series (for example, the second methylene carbon from the carboxyl group of a fatty acid). 2. Symbol for the coefficient of [B] in the denominator of a generalized rate expression. 3. Symbol for reciprocal temperature parameter, p = llkT. 4. Symbol for pressure coefficient, p = (dpldT)y. 5. Symbol for depth of penetration of light (Napierian). 6. p, Symbol for electron. 7. /3+, Symbol for positron. 

The absorbance (or optical density) of the films were estimated from the transmittance T using the relation A = -log(T). Here we assumed that all the incident light is either transmitted or absorbed, reflection or scattering being negligible. The Napierian absorption coefficient of the sample was calculated using Lamberts... 

A transcendental number, used as the huse ol the system of natural or Napierian logarithms. It is defined hy... 

NEPER (Np), A dimensionless unit for expressing the ratio of two voltages, two currents, or two power values in a logarithmic manner. The number of nepers is the natural (Napierian) logarithm of the square root of the ratio of the two values being compared. Thus, the neper uses the base of 2.71828 in contrast with the bel (or decibel) which uses the common-logarithm base of 10. One neper equals 8.686 decibels. 

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