R: Derivatives of Freezing Water Properties

gsw_t_freezing_first_derivatives {gsw} | R Documentation

## Derivatives of Freezing Water Properties

### Description

Derivatives of Freezing Water Properties

### Usage

    gsw_t_freezing_first_derivatives(SA, p, saturation_fraction = 1)

### Arguments

`SA` | Absolute Salinity [ g/kg ]
`p` | sea pressure [dbar], i.e. absolute pressure [dbar] minus 10.1325 dbar
`saturation_fraction` | fraction of air in water [unitless]

### Details

The present R function works with a wrapper to a C function contained within the GSW-C system (Version 3.05-4 dated 2017-08-07, available at https://github.com/TEOS-10/GSW-C, as git commit '5b4d959e54031f9e972f3e863f63e67fa4f5bfec'), which stems from the GSW-Fortran system (https://github.com/TEOS-10/GSW-Fortran) which in turn stems from the GSW-Matlab system (https://github.com/TEOS-10/GSW-Matlab). Consult http://www.teos-10.org to learn more about these software systems, their authorships, and the science behind it all.

### Value

a list containing `tfreezing_SA` [ K/(g/kg) ], the derivative of freezing temperature with Absolute Salinity and `tfreezing_p` [ K/dbar ], the derivative with respect to pressure.

### References

http://www.teos-10.org/pubs/gsw/html/gsw_t_freezing_first_derivatives.html

### Examples

    SA <- c(               34.7118, 34.8915, 35.0256, 34.8472, 34.7366, 34.7324)
    p <- c(                     10,      50,     125,     250,     600,    1000)
    saturation_fraction <- c(    1,     0.8,     0.6,     0.5,     0.4,       0)
    derivs <- gsw_t_freezing_first_derivatives(SA, p, saturation_fraction)
    expect_equal(derivs$tfreezing_SA, c(-0.056811800705787, -0.056856999671114, -0.056903079789292,
                                      -0.056904020028541, -0.056974588411844, -0.057082363270642))
    expect_equal(derivs$tfreezing_p/1e-7, c(-0.748468312442338, -0.749793159537290, -0.752225023995510,
                                          -0.756170965034610, -0.767279572670040, -0.779936552091913))

[Package gsw version 1.0-5 Index]