The Bragg equation derived
Dinnebier, R.E. and

Billinge, S.J.L.,

International Tables for Crystallography
(2019).
Vol. H,
Section 1.1.2.1,
p.

[ doi:10.1107/97809553602060000935 ]
planes (Fig.

**1.1.2**), although in this case they have the same layer spacing, or periodicity. If we were able to insert the tray at different angles to the cubes, for example at 45°, we could find other sets of parallel planes that, when we force them ...

The Bragg equation from the reciprocal lattice
Dinnebier, R.E. and

Billinge, S.J.L.,

International Tables for Crystallography
(2019).
Vol. H,
Section 1.1.2.2,
p.

[ doi:10.1107/97809553602060000935 ]
that, geometrically, . Substituting, we get . Combining this with equation (

**1.1.25**) leads to and consequently By definition, h, k and l are divided by their largest common integer to be Miller indices . The vector, from Bragg's ...

The peak position
Dinnebier, R.E. and

Billinge, S.J.L.,

International Tables for Crystallography
(2019).
Vol. H,
Section 1.1.2,
p.

[ doi:10.1107/97809553602060000935 ]
and principles of powder diffraction

**1.1.2.1**. The Bragg equation derived
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The easiest way to understand the structural information contained in powder diffraction, and historically one of the first ways ...

The Bragg equation from the Laue equation
Dinnebier, R.E. and

Billinge, S.J.L.,

International Tables for Crystallography
(2019).
Vol. H,
Section 1.1.2.3,
p.

[ doi:10.1107/97809553602060000935 ]
...

The Ewald construction and Debyeâ€“Scherrer cones
Dinnebier, R.E. and

Billinge, S.J.L.,

International Tables for Crystallography
(2019).
Vol. H,
Section 1.1.2.4,
p.

[ doi:10.1107/97809553602060000935 ]
...