Mathcad 15 script for calling Hepak helium property calculation routines from within Mathcad spreadsheet

HE2MATH v. 1.0

This is the first release which I am going to call “stable”. I will keep the syntax back-compatible with this version for all the minor upgrades of version 1.

This version is not back-compatible with 0.1 and 0.2, all the HE2MATH function calls have to be rewritten when you upgrade from 0.1 or 0.2.

The distribution script: he2math_1.0.zip.

System Requirements

  • Operating System: Windows XP; Windows 7; Windows 8. I have not tested with Windows 10 yet. Let me know if you have!
  • Microsoft Office: MS Office 2007; MS Office 2010; MS Office 2013.
  • Mathcad: The only supported version is Mathcad 15.
  • HEPAK: any version supporting MS Excel function calls (xla-macro version).


Download and unpack HE2MATH script file anywhere you can easily find it later (e.g. your Documents folder).

How to Use HE2MATH

IMPORTANT: this manual applies to a version 1.0.

Add the reference to HE2MATH Mathcad file in the worksheet:

As soon as the reference is added, HE2MATH functions can be called within the worksheet. The following are few simple examples describing the syntax of HE2MATH.

The first example case defines the density of helium at atmospheric pressure (101325 Pa) and ambient temperature (20 C).

  • First two lines define the pressure and temperature of helium at the point of interest. Defined variables p.1 and t.1 could be then used as parameters of the he2math_density function.
  • Third line calls he2math_density function which returns the density of helium at 101325 Pa and 20 C.


  • The order of inputs is as follows: input_1_code, input_1_value, input_2_code, input_2_value.
  • The first and third input parameters of the function correspond to the first and second input codes as per hepak manual. Input codes can be entered as numbers or special variables starting with property_ can be used (e.g. property_pressure or shortened prop_p).
  • The second and forth parameters are input values describing the state of the fluid at the point of interest.
  • Syntax of he2math scripts is similar to syntax of HEPAK for MS Excel. There are two main differences: the unit system (it’s always SI, see the Units section below for detailed explanation) and the phase calculation code (since 0 covers all the scenarios, it’s hard-coded into the script).

Input Codes

  • Input codes describe the properties to be entered as the second and forth parameters. In the example above, property_pressure input code indicates that the second parameter is pressure, property_temperature input code indicates that the forth parameter is temperature.
  • Input codes can be entered as numbers, property_pressure and property_temperature are usual Mathcad variables containing values 1 and 2.
  • The list of possible input codes is defined by he2math_properties variable and can be displayed using equal sign anywhere in the worksheet.


  • All the fluid properties (pressure, temperature, density, enthalpy, etc) inside of HE2MATH functions can be defined with units. Unitless variables are assumed to be in SI system.
  • HE2MATH does not verify the validity of units, i.e. replacement of Pa with kg would lead to the exact same result. That is because HE2MATH only rescales all the units to their corresponding SI representations. Since kg is a standard SI unit, it is not rescaled after HE2MATH function call.
  • All the values are returned by HE2MATH functions with units. Returned values can be rescaled in a standard Mathcad-way by placing a unit next to the variable.
  • Avoid, if possible, working with unitless variables.


  • The name of the function defines the property to be returned.
  • All the functions start with he2math_ and are followed by the name of the property to be calculated.
  • The list of the valid function names is defined by he2math_functions variable and can be displayed using equal sign anywhere in the worksheet.

Saturated conditions

  • Calculations of fluid properties in case if they are fully defined by one variable (i.e. saturated temperature at a given pressure) could have been done using special input codes (e.g. property_lambda_line or property_saturated_liquid) followed by any value. HEPAK constants (accessible using heconst() function in Excel) are not yet available.
  • The example below shows the calculation of temperature for saturated liquid helium at atmospheric pressure.

HEPAK installation

In order to use HE2MATH functions within Mathcad worksheet, it is necessary to have HEPAK macro installed in MS Excel. If HEPAK is already installed (i.e. something like =hecalc("d",0,"p",101325,"T",300,1) in excel spreadsheet returns a valid result), ignore this part.

Installation Process

HEPAK installation includes the only step of copying HEPAK distribution file (it is usually named HePak.xla) to XLSTART folder. This allows to load HEPAK plug-in automatically every time Excel is started.

Open Microsoft Office directory (usually C:\Program Files\Microsoft Office for Windows 32-bit version and C:\Program Files (x86)\Microsoft Office for Windows 64-bit version).

Depending from the version of MS Office installed, open the corresponding folder:

Office Version Folder Path
MS Office 2007   Office12\XLSTART
MS Office 2010   Office14\XLSTART
MS Office 2013   Office15\XLSTART

Copy HePak.xla file received from HEPAK distributor there.

To verify that you are done with HEPAK installation, open a new Excel document and type =hecalc("d",0,"p",101325,"T",300,1) in any cell (or just copy-paste that).

If everything is OK you should see 0.162522. The value shows density of helium in kg/m^3 at 101325Pa pressure and 300K temperature.