14 Notations

parts per thousand (permil)

1,2,3,…

subscript for input streams

a,b,c

fitting constants (K2, K, dimensionless, respectively)

α

equilibrium fractionation factor for the reaction at a given temperature (dimensionless)

X,Y

fractionation factor for transition from X to Y (dimensionless)

c

y-intercept (dimensions of y-axis values)

d

deuterium excess (D-excess)

δ

deviation of stable isotope composition from a standard

ε

enrichment factor

f

fraction (1 to 0) of water that remains (dimensionless)

f

subscript for output stream

g

subscript indicating groundwater

m

gradient, i.e., slope of the line (dimensions of y-axis values over dimensions of x-axis values)

mRMW

gradient, i.e., slope of the Reduced Major Axis Regression (dimensions of y-axis values over dimensions of x-axis values)

p

subscript indicating precipitation

Q

flow rate (MT1)

R

isotope ratio such as 2H/1H (dimensionless)

rfinal

isotope composition of the pool of water with fraction f remaining (dimensionless)

rinitial

original isotope composition of the pool (dimensionless)

s

subscript indicating resultant total stream flow

SPxy

sum of product of deviations from the mean of x and deviations from mean of y (dimensions are product of x and y dimensions)

SSx

sum of the squared deviations from the mean of x (squared dimensions of the x variable)

SSy

sum of the squared deviations from the mean of y (squared dimensions of the y variable)

T

temperature (K)

X

subscript indicating reactant compound or state

x, y

regression variables

Y

subscript indicating product compound or state

License

Stable Isotope Hydrology Copyright © 2022 by Roger E. Diamond. All Rights Reserved.