# gsw_CT_maxdensity_exact

`Conservative Temperature of maximum density of seawater`

## USAGE:

`CT_maxdensity_exact = gsw_CT_maxdensity_exact(SA,p)`

## DESCRIPTION:

```Calculates the Conservative Temperature of maximum density of seawater.
This function returns the Conservative Temperature at which the density
of seawater is a maximum, at given Absolute Salinity, SA, and sea
pressure, p (in dbar). ```
```Note that this function uses the full Gibbs function.  There is an
alternative to calling this function, namely gsw_CT_maxdensity(SA,p),
which uses the computationally efficient 75-term expression for
specific volume in terms of SA, CT and p (Roquet et al., 2015).```
 ```Click for a more detailed description of calculating the Conservative Temperature of maximum density.```

## INPUT:

```SA =  Absolute Salinity                                         [ g/kg ]
p  =  sea pressure                                              [ dbar ]
( i.e. absolute pressure - 10.1325 dbar )```
`p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA is MxN.`

## OUTPUT:

```CT_maxdensity_exact  =  Conservative Temperature at which the density
of seawater is a maximum for given Absolute
Salinity and pressure.                 [ deg C ]```

## EXAMPLE:

```SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
p =  [     10;      50;     125;     250;     600;    1000;]```
`CT_maxdensity_exact = gsw_CT_maxdensity_exact(SA,p)`
`CT_maxdensity_exact =`
```  -3.720779524452287
-3.849111898670119
-4.046292804691113
-4.290063909787930
-5.065854290972595
-5.995131932081709```

## AUTHOR:

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

## VERSION NUMBER:

`3.05 (16th February, 2015)`

## 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.
See section 3.42 of this TEOS-10 Manual.```
```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`