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X-ray Techniques in Forensic Analysis: XRD, XRF and X-ray Imaging

X-ray techniques: production, XRD with Bragg's law, EDXRF vs WDXRF, forensic applications, Indian labs.

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X-ray diffraction (XRD) and X-ray fluorescence (XRF) are two complementary, non-destructive analytical techniques used routinely in forensic laboratories. XRD identifies the crystalline phase of a sample by applying Bragg's law (nλ = 2d sin θ) to produce a diffractogram matched against the ICDD Powder Diffraction File database. XRF identifies the elemental composition of a sample by measuring characteristic secondary X-rays emitted after primary-beam excitation. Together, they answer two distinct but linked questions about the same exhibit: what elements are present, and what crystalline phases those elements form.

Three X-ray techniques are central to modern crime laboratory practice: X-ray diffraction (XRD) for crystalline phase identification, X-ray fluorescence (XRF) for elemental composition, and X-ray imaging for radiographic examination of sealed exhibits. The underlying physics is concise, the governing equations are exact, and the casework applications span paint, glass, soil, gunshot residue, counterfeit currency, gemstones, and illicit drugs.

XRD and XRF share the same wavelength regime and both are non-destructive, making them the preferred pairing in forensic labs where exhibit preservation matters. The key distinction: XRD identifies what crystalline phase a sample is; XRF identifies what elements it contains.

By the end of this topic you will be able to:

  • Derive and apply Bragg's law (nλ = 2d sin θ) to calculate d-spacings from diffractogram peak positions.
  • Distinguish XRD from XRF in terms of what each technique identifies and the underlying physical mechanism.
  • Compare EDXRF and WDXRF across resolution, speed, portability, and detection limits.
  • Select the appropriate X-ray technique for a given forensic exhibit type: paint, glass, soil, GSR, counterfeit currency, illicit tablets, or gemstones.
  • Identify the principal Indian institutions housing forensic XRD and XRF facilities and describe the regulatory framework governing X-ray source use.
Key terms
Bragg's law
nλ = 2d sin θ. The condition under which X-rays scattered from successive crystal planes interfere constructively. Foundation of XRD.
d-spacing
The perpendicular distance between adjacent lattice planes in a crystal, expressed in angstroms. A diffraction pattern is essentially a list of d-spacings unique to a phase.
Characteristic X-rays
Sharp emission lines produced when an inner-shell vacancy in an atom is filled by an outer electron. Their energies are element-specific (Moseley's law) and form the basis of XRF identification.
K-alpha line
The characteristic X-ray emitted when an electron drops from the L-shell to fill a K-shell vacancy. Brightest line for most elements; the workhorse line in EDXRF.
Continuous (Bremsstrahlung) radiation
Smooth background X-ray spectrum produced when high-energy electrons decelerate in the anode. Element-independent. The 'hump' under the characteristic lines.
EDXRF
Energy-dispersive X-ray fluorescence. A solid-state detector resolves the entire emission spectrum at once by photon energy. Cheap, portable, faster.
WDXRF
Wavelength-dispersive X-ray fluorescence. An analyser crystal disperses fluorescence by wavelength (Bragg's law again). Slower, costlier, much higher resolution.
Anode target
The metal block (commonly Cu, Mo or Rh) that electrons strike inside an X-ray tube to produce the X-ray beam. Choice of anode sets the K-alpha wavelength used for excitation.

X-ray fundamentals: how the beam is produced

X-rays for laboratory work are produced in a sealed X-ray tube. Electrons boiled off a tungsten filament are accelerated through 20 to 60 kV onto a metal anode. Two distinct spectra come out of the anode at the same time.

  1. Continuous spectrum (Bremsstrahlung). Electrons that decelerate inside the anode lose energy as a broad, smooth X-ray continuum. The short-wavelength cutoff is set by the tube voltage (λ_min = 12,398 / V, in angstroms and volts). This part of the spectrum carries no element information.
  2. Characteristic spectrum. Some incoming electrons knock out an inner-shell (K or L) electron of an anode atom. An outer-shell electron drops in to fill the vacancy and emits an X-ray photon at an energy fixed by the anode element. For a copper anode the dominant line is Cu Kα at 1.5418 Å. This is the line used for XRD work.

Two practical points examiners like to test. First, the anode is water-cooled because more than 99 percent of the input electron energy becomes heat, not X-rays. Second, Moseley's law(√ν proportional to Z) is the physics behind XRF: the characteristic line energy depends only on atomic number, which is why XRF can identify elements regardless of chemical state.

XRD: principles and Bragg's equation

X-ray diffraction (XRD)works because the wavelength of X-rays (around 1 Å) is comparable to the spacing between atomic planes in a crystal. When a monochromatic X-ray beam hits a crystalline sample at angle θ, reflections from successive planes interfere constructively only when path difference equals an integer number of wavelengths. That is Bragg's law

nλ = 2d sin θ

where n is the diffraction order (usually 1), λ is the X-ray wavelength, d is the spacing between lattice planes, and θ is the angle of incidence (half the deflection 2θ recorded by the detector). The output is a diffractogram: a plot of intensity against 2θ, with sharp peaks at angles where Bragg's condition is met.

Every crystalline phase has its own unique set of d-spacings, catalogued in the ICDD PDF (Powder Diffraction File)database. Phase identification is a pattern-matching exercise: measure the d-spacings of the unknown, look them up, name the phase. A typical Indian forensic XRD bench (CFSL Pune physics division, for instance) runs a copper-anode source (Cu Kα, 1.5418 Å), a graphite monochromator and a scintillation or position-sensitive detector, scanning 2θ from about 5 to 80 degrees.

What XRD answers in forensic casework:what crystalline phase is this?Examples include distinguishing α-quartz from amorphous silica in a soil sample, confirming the pigment in a paint chip (rutile vs anatase TiO₂, lead chromate vs lead carbonate), identifying explosives (RDX, PETN, ammonium nitrate) by their lattice pattern, and confirming the active ingredient in seized tablets without dissolving them.

XRF: EDXRF vs WDXRF

XRF asks a different question from XRD:what elements are in this sample, and roughly in what proportion?A primary X-ray beam knocks out an inner-shell electron from the sample atoms. The vacancy is filled from an outer shell, and a secondary (fluorescent) X-ray is emitted at an energy characteristic of the element. Sort those secondary photons by energy or wavelength and you have an elemental fingerprint.

The two flavours of XRF differ only in how they sort the fluorescent photons.

FeatureEDXRF (Energy-dispersive)WDXRF (Wavelength-dispersive)
Sorting methodSolid-state Si(Li) or SDD detector resolves photons by energy in real timeAnalyser crystal (LiF, PET, TlAP) disperses photons by wavelength using Bragg's law; goniometer scans
Resolution~ 130 to 150 eV (Mn Kα)~ 5 to 20 eV; much better separation of overlapping lines
SpeedWhole spectrum captured simultaneously, seconds per sampleSequential or simultaneous on multiple channels; slower
Cost and portabilityLower cost, available as handheld unitsBench-top only, higher cost, requires stable power
Detection limitppm range for mid-Z elementsSub-ppm achievable for light and mid-Z elements
Typical Indian forensic useField screening of currency notes, gemstones, GSR on hand swabsCFSL bench analysis of paint, glass, soil with light-element confirmation

EDXRF is faster and portable; WDXRF resolves better. EDXRF is the workhorse for handheld field instruments (the Niton or Bruker XRF guns used at crime scenes); WDXRF lives on a lab bench. Both are non-destructive, which is why courts prefer them for irreplaceable exhibits.

XRF atomic mechanism: primary photon ejects K-shell electron (photoelectric effect), L-to-K transition fills the vacancy
XRF atomic mechanism: primary photon ejects K-shell electron (photoelectric effect), L-to-K transition fills the vacancy, emitting a Ka characteristic X-ray whose energy is fixed by atomic number.

Forensic applications across exhibit types

Most casework uses XRD and XRF together. XRF identifies the elements; XRD identifies the crystalline phase those elements form. The exhibit categories below illustrate how the techniques are paired in practice.

ExhibitQuestion to answerBest techniqueWhy
Paint chip (hit-and-run)Is the chip on the victim's clothing from the suspect vehicle?XRF for pigment elements (Ti, Pb, Cr, Fe); XRD for the crystalline pigment phaseLayer-by-layer pigment chemistry plus phase is highly individualising
Glass fragmentContainer glass vs window vs vehicle glass?XRF for refractive-related oxides (Si, Na, Ca, Mg, Al); SEM-EDX for traceFloat vs container glass differ in trace element profile
Soil / sandDid this soil come from the crime scene area?XRD for mineral phases (quartz, calcite, feldspar); XRF for major oxidesMineral assemblage is a strong geographic discriminator
Gunshot residue (GSR)Did the suspect fire a weapon?SEM-EDX is the gold standard; portable EDXRF is a useful field screenPb-Sb-Ba on hand swabs is the classical triad
Counterfeit currencyGenuine ink/security thread or fake?Portable EDXRF on the note in situRBI genuine notes have a known elemental fingerprint of the magnetic ink and security thread
Illicit drugs / seized tabletsWhat is the active compound and the bulking agent?XRD on intact tablet for the API crystalline formPolymorph identification (e.g. paracetamol Form I vs II) without dissolving the tablet
Gemstone authenticationNatural diamond vs synthetic moissanite, real ruby vs glass?XRF for trace elements; XRD for crystal structureUsed at GSI / Indian gem labs for certification disputes
Suspected radiograph / explosive parcelIs there a device inside this package?X-ray imaging (cabinet or portal radiography)Non-destructive visualisation; supports bomb-disposal decision

X-ray imaging is the third leg of this bullet. examiners does not test it as deeply as XRD or XRF, but you should know that forensic radiography is used to image swallowed evidence, sealed parcels, bullets lodged in tissue (during autopsy), and to look inside suspect IEDs. For the GSR row above, the courtroom-grade confirmation runs on SEM-EDXRFwhich resolves individual Pb-Sb-Ba particles morphologically rather than just elementally. NDT-style X-ray imaging at airports and at the Bomb Detection and Disposal Squad (BDDS) of state police forces falls in the same family.

Indian institutional context

Three institutions handle the bulk of forensic X-ray casework in India.

  • CFSL Pune (Physics Division). Houses both XRD and XRF benches for paint, glass, soil and counterfeit-currency casework. The Physics Division is the canonical Indian forensic home for crystalline and elemental examination.
  • BARC (Bhabha Atomic Research Centre), Mumbai. Runs synchrotron-grade X-ray facilities (and accesses the Indus-2 synchrotron at RRCAT Indore for collaborative work). Trace-element work referred from forensic labs sometimes ends up here when sensitivity matters.
  • NPL (National Physical Laboratory), New Delhi. The national metrology institute. Calibrates XRF and XRD standards used across Indian forensic labs and runs certified reference materials.

Also worth knowing for institutional MCQs:NFSU Gandhinagar has XRD and XRF in its Forensic Physics laboratory; the GSI (Geological Survey of India)runs XRD as its routine mineral-identification workhorse and sometimes assists forensic labs with soil cases; the AERB (Atomic Energy Regulatory Board)regulates the use of X-ray tubes and radiation sources in any forensic lab under the Atomic Energy (Radiation Protection) Rules, 2004.

What is the difference between XRD and XRF?
XRD (X-ray diffraction) identifies the crystalline phase of a sample using Bragg's law (nλ = 2d sin θ). XRF (X-ray fluorescence) identifies the elements present in a sample by measuring characteristic emission lines. XRD answers 'what phase', XRF answers 'what elements'. Both are non-destructive and both run on the same wavelength regime, which is why textbooks and examiners syllabi group them together.
State Bragg's law and explain the variables for a forensic XRD.
Bragg's law is nλ = 2d sin θ, where n is the diffraction order (almost always 1 in casework), λ is the X-ray wavelength (1.5418 Å for the standard Cu Kα source), d is the spacing between adjacent crystal lattice planes, and θ is the angle of incidence measured between the incoming beam and the lattice plane. The detector records 2θ (twice θ). A diffractogram is a plot of intensity against 2θ; each peak corresponds to a Bragg-satisfied d-spacing.
Why is EDXRF preferred over WDXRF for field work in Indian forensic labs?
EDXRF uses a solid-state detector that captures the whole emission spectrum at once and is small enough to be built into a handheld unit. That makes it the natural fit for on-scene screening of counterfeit currency, paint, GSR swabs, gemstones and seized drug tablets. WDXRF gives much better spectral resolution but needs a bench-top goniometer with an analyser crystal, stable power and longer scan times, so it stays in the lab for confirmation work.
What forensic exhibits are best examined by X-ray techniques?
Paint chips (XRF for pigment elements, XRD for the pigment phase), glass fragments (XRF for major oxides), soil (XRD for mineral assemblage), gunshot residue (SEM-EDX confirmed, EDXRF screened), counterfeit currency notes (portable EDXRF in situ), illicit tablets (XRD for the active ingredient polymorph), and gemstones (XRF plus XRD for authentication). Sealed parcels and swallowed evidence go to X-ray imaging instead.
Which Indian institutions house major XRD and XRF facilities for forensic work?
CFSL Pune Physics Division is the canonical Indian forensic home for XRD and XRF casework. BARC Mumbai and the Indus-2 synchrotron at RRCAT Indore handle high-end referrals. NPL Delhi calibrates standards and certified reference materials. NFSU Gandhinagar runs both instruments in its Forensic Physics laboratory. GSI uses XRD routinely for mineral identification and sometimes assists with soil cases. AERB regulates the use of X-ray sources in all Indian forensic labs.

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