# gsw_Nsquared_lowerlimit

`specified profile of minimum buoyancy frequency squared`

## USAGE:

`Nsquared_lowerlimit = gsw_Nsquared_lowerlimit(p,long,lat)`

## DESCRIPTION:

`Calculates the minimum Nsquared such that a cast is stable.`

## INPUT:

```p     =  sea pressure                                           [ dbar ]
( i.e. absolute pressure - 10.1325 dbar )
long  =  longitude in decimal degrees                     [ 0 ... +360 ]
lat   =  latitude in decimal degrees north               [ -90 ... +90 ]```
`lat & long may have dimensions 1x1 or Mx1 or 1xN or MxN, where p is MxN.`

## OUTPUT:

`Nsquared_lowerlimit  = Minimum Brunt-Vaisala Frequency squared    [rad2 s-2 ]`
```The units of N2 are radians2 s-2 however in may textbooks this is
abreviated to s-2 as radians does not have a unit.  To convert the
frequency to hertz, cycles sec-1, divide the frequency by 2π, ie N/(2π).
```

## EXAMPLE:

```p   = [     10;      50;     125;     250;     600;    1000;]
long = 180;
lat = 4;```
`N2_lowerlimit = gsw_Nsquared_lowerlimit(p,long,lat)`
`N2_lowerlimit =`
`1.0e-07 *`
```   0.992537375311876
0.963422068375535
0.911872676938447
0.834100587303554
0.661608727070520
0.525909580878582```

## AUTHOR:

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

## VERSION NUMBER:

`3.06.13 (4th August, 2021)`

## REFERENCES:

```Barker, P.M., and T.J. McDougall, 2016: Stabilisation of hydrographic
profiles.  J. Atmosph. Ocean. Tech., submitted.```
```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.```
` The software is available from http://www.TEOS-10.org`