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Ratio Technique

  Interplanar Spacing Tables     1 of 3
 

Interplanar spacing tables

The interplanar spacing, d for a cubic structure of lattice parameter, a is given by:

planarSpacingEqn.gif (287 bytes)
 
Therefore, the ratio of interplanar spacings between two different planes, d1 and d2 is:
 
planarSpacingRatioEqn.gif (486 bytes)

Print or copy this page and complete the tables below for fcc and bcc cells.  A few have already been done for you.

FCC

(remember allowed reflections only from all even or all odd h,k,l)

    d1

d2

hkl {111} {200} {220} {311} {222} {400}
{111} 1         2.31
{200}   1        
{220}     1      
{311} 0.52     1    
{222}         1  
{400}           1

BCC

(remember allowed reflections only from  h+k+l = even)

    d1

d2

hkl {110} {200} {211} {220} {310} {222}
{110} 1          
{200}   1     1.58  
{211}   0.82 1      
{220}       1    
{310}         1  
{222}           1

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