Encyclopedia Magnetica™

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==== Calculator of magnetic susceptibility ====

|< 100% >|
| {{/wiki/logo.png?20&nolink}} //See also: [[/Magnetic units]].// |

<WRAP lo right>//[[https://www.e-magnetica.pl/doku.php/calculator/susceptibility|[open]]]//</WRAP>

[[/Magnetic susceptibility]] can be calculated from [[/magnetisation]] //M// and [[/magnetic field strength]] //H//, with the [[/SI units]]: 
<WRAP lo 100%>
^  Quantity  ^  Equation  ^  SI units  ^  CGS units  ^  Conversion factor //F// \\ such that //SI = F·CGS// ^
|  [[/Volume magnetic susceptibility]] \\ $M$ - [[/magnetisation]] (A/m) \\ $H$ - [[/magnetic field strength]] (A/m)  |  $$ χ_\text{vol} = \frac{M}{H} $$  |  (unitless) \\ ≡ (A/m)/(A/m)  |  (unitless)  |  $4π$  |
|  [[/Mass magnetic susceptibility]] \\ $ρ$ - [[/mass density]] (kg/m<sup>3</sup>)  |  $$ χ_\text{mass} = \frac{χ_\text{vol}}{ρ} $$  |  (m<sup>3</sup>/kg)  |  (cm<sup>3</sup>/g)  |  $4π×10^{-3}$  |
|  [[/Molar magnetic susceptibility]] \\ $ρ$ - mass density (kg/m<sup>3</sup>) \\ $m_\text{mol}$ - [[/molar mass]] (kg/mol)  |  $$ χ_\text{mol} = \frac{χ_\text{vol}·m_\text{mol}}{ρ} $$  |  (m<sup>3</sup>/mol)  |  (cm<sup>3</sup>/mol)  |  $4π×10^{-6}$  |
</WRAP>
<HTML>
<!-- ==================== calculator starts here ============== -->
<HEAD>
<SCRIPT Language="JavaScript">

<!--
/**
 * Function that introduces calculator of a given function.
 **/
 
function getSelectedValue(selectList){
   return selectList[selectList.selectedIndex].value
}

function calculate_function(frm){
// set up variables
var susceptibility_in = frm.susceptibility_in.value
var density           = frm.density.value
var molar_weight        = frm.molar_weight.value
// var result       = "0"
var type_in     = getSelectedValue(frm.type_in)
var type_out    = getSelectedValue(frm.type_out)
var density_units = getSelectedValue(frm.density_units)
var molar_units = getSelectedValue(frm.molar_units)
const pi = 3.141592654

// read values and convert to numbers
susceptibility_in = parseFloat(susceptibility_in)
density = parseFloat(density)
molar_weight = parseFloat(molar_weight)
density_units = parseFloat(density_units)
molar_units = parseFloat(molar_units)

//correct for units
density = density*density_units
molar_weight = molar_weight*molar_units

// set up input multipliers
if (type_in == 1) { m_in = 1 } 
if (type_in == 2) { m_in = 4*pi } 
if (type_in == 3) { m_in = density } 
if (type_in == 4) { m_in = 4*pi*density/1000 } 
if (type_in == 5) { m_in = 1e6*density/molar_weight } 
if (type_in == 6) { m_in = 4*pi*density/molar_weight } 

// setup output multipliers
if (type_out == 1) { m_out = 1 } 
if (type_out == 2) { m_out = 1/(4*pi) } 
if (type_out == 3) { m_out = 1/density } 
if (type_out == 4) { m_out = 1000/(4*pi*density) } 
if (type_out == 5) { m_out = 1e-6*molar_weight/density } 
if (type_out == 6) { m_out = molar_weight/(4*pi*density) } 

// calculate the main function
result = susceptibility_in*m_in*m_out

// format number to x digits precision, result will equal 5.611e+2
//result = result.toPrecision(4)
result = result.toExponential(3)

// display result
frm.result.value = result
}

//-->
</SCRIPT>
</HEAD>
<body>

<form method="post" action="">

<b>Convert from:</b><br>

<SELECT name="type_in" onChange="calculate_function(this.form)">
           <OPTION value="1" selected>SI volume susceptibility (unitless)</OPTION>
           <OPTION value="2">CGS volume susceptibility (unitless)</OPTION>
           <OPTION value="3">SI mass susceptibility (m³/kg)</OPTION>
           <OPTION value="4">CGS mass susceptibility (cm³/g)</OPTION>
           <OPTION value="5">SI molar susceptibility (m³/mol)</OPTION>
           <OPTION value="6">CGS molar susceptibility (cm³/mol)</OPTION>           
</SELECT> &nbsp; 

<input type="text" value="2.2e-5" name="susceptibility_in" size="10" maxlength="10" onChange="calculate_function(this.form)"> &nbsp; 
 
(use <i>2.2e-5</i> for <i>2.2×10<sup>-5</sup></i>) 

<br> <br> 
Additional data required for conversion of mass and molar values:<br> 
Mass density: <input type="text" value="2.7" name="density" size="10" maxlength="10" onChange="calculate_function(this.form)"> 

<SELECT name="density_units" onChange="calculate_function(this.form)">
           <OPTION value="1">kg/m³</OPTION>
           <OPTION value="1000" selected>g/cm³</OPTION>
        </SELECT> &nbsp;

<br> 
Molar mass:&nbsp;&nbsp;&nbsp;<input type="text" value="26.98" name="molar_weight" size="10" maxlength="10" onChange="calculate_function(this.form)"> 

<SELECT name="molar_units" onChange="calculate_function(this.form)">
           <OPTION value="1">kg/mol</OPTION>
           <OPTION value="1000" selected>g/mol</OPTION>
        </SELECT> &nbsp;
        
<br> <br> 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<input type="button" name="Button" value="----- Calculate -----" onClick="calculate_function(this.form)">  

<br> <br> 

<b>Convert to:</b> <br>

<SELECT name="type_out" onChange="calculate_function(this.form)">
           <OPTION value="1" selected>SI volume susceptibility (unitless)</OPTION>
           <OPTION value="2">CGS volume susceptibility (unitless)</OPTION>
           <OPTION value="3">SI mass susceptibility (m³/kg)</OPTION>
           <OPTION value="4">CGS mass susceptibility (cm³/g)</OPTION>
           <OPTION value="5">SI molar susceptibility (m³/mol)</OPTION>
           <OPTION value="6">CGS molar susceptibility (cm³/mol)</OPTION>           
</SELECT> &nbsp; 
        

<input type="text" name="result" size="10" maxlength="10" onChange="calculate_function(this.form)"> 
<br> 


</form>




</BODY>
<!-- ==================== calculator ends here ============== -->
</HTML>
 \\
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{{tag>Calculators Magnetic_susceptibility Volume_susceptibility Molar_susceptibility Atomic_mass_susceptibility Mass_susceptibility}}