## Contents

## USAGE:

alpha_on_beta_CT_exact = gsw_alpha_on_beta_CT_exact(SA,CT,p)

## DESCRIPTION:

Calculates alpha divided by beta, where alpha is the thermal expansion
coefficient and beta is the saline contraction coefficient of seawater
from Absolute Salinity and Conservative Temperature.

Note that this function uses the full Gibbs function. There is an
alternative to calling this function, namely gsw_alpha_on_beta(SA,CT,p),
which uses the computationally efficient 75-term expression for specific
volume in terms of SA, CT and p (Roquet et al., 2015).

## INPUT:

SA = Absolute Salinity [ g/kg ]
CT = Conservative Temperature [ deg C ]
p = sea pressure [ dbar ]
(ie. absolute pressure - 10.1325 dbar)

SA & CT need to have the same dimensions.
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & CT are MxN.

## OUTPUT:

alpha_on_beta_CT_exact = thermal expansion coefficient with respect
to Conservative Temperature divided by the
saline contraction coefficient at constant
Conservative Temperature. [ g kg^-1 K^-1 ]

## EXAMPLE:

SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [28.8099; 28.4392; 22.7862; 10.2262; 6.8272; 4.3236;]
p = [ 10; 50; 125; 250; 600; 1000;]

alpha_on_beta_CT_exact = gsw_alpha_on_beta_CT_exact(SA,CT,p)

alpha_on_beta_CT_exact =

0.452562747132054
0.449696995826268
0.387182214199383
0.230694468617323
0.193717703723134
0.170958853568465

## AUTHOR:

Paul Barker and Trevor McDougall [ help@teos-10.org ]

## VERSION NUMBER:

3.06.15 (1st June, 2022)

## REFERENCES:

IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of
seawater - 2010: Calculation and use of thermodynamic properties.
Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
UNESCO (English), 196 pp. Available from the TEOS-10 web site.

Roquet, F., G. Madec, T.J. McDougall, P.M. Barker, 2015: Accurate
polynomial expressions for the density and specifc volume of seawater
using the TEOS-10 standard. Ocean Modelling.

The software is available from http://www.TEOS-10.org