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Algorithms used for Microspectroscopy
Microscope spectrometers are used in many fields.

 

The Science of Microspectroscopy

Microspectrophotometer Design

Microspectrophotometer Operation

Uses of Microspectrophotometers

Units of UV-Visible-NIR Microspectroscopy

QDI 2010™ Microspectrophotometer

 

Block diagram of a transmission microspectrophometer

General layout of a microspectrometer configured for transmission or absorbance

 

Absorbance microspectra of carbon black

Corrected Absorbance Microspectra

The UV-visible-NIR microspectrometer is a single beam instrument.  It corrects for instrumental and sample variables by first acquiring a dark scan (D) that measures the electronic noise of the system.  A reference spectrum is then acquired.  This is a spectrum of the reference material (R) and includes the optical characteristics of the reference material as well as those of the instrument optics and light sources.  A sample spectrum (S) is then acquired and the following calculations result in a corrected spectrum.

Transmittance
Transmittance calculates a transmission spectrum from a sample and reference single-beam spectra. 

From Two Single-Beam Spectra:
Transmission can produce a transmission spectrum from two single-beam spectra using the following formula:

Percent transmission calculation

where R is the single beam spectrum of the reference material, S is the single beam spectrum of the sample and D is the dark counts of the system.

From Absorbance Data:
A transmission spectrum can be generated from an absorbance spectrum using the following formula:

Convert absorbance to percent transmission.

where A is the absorbance value.  This is a calculation from data that has already been collected.

Absorbance
Absorbance calculates an absorbance spectrum from a sample and reference single-beam spectra or from a transmission spectrum.

From Two Single-Beam Spectra:
Absorbance can produce an absorbance spectrum from two single-beam spectra using the following formula:

Absorbance calculation

where R is the single beam spectrum of the reference material, S is the single beam spectrum of the sample and D is the dark counts of the system.

From Transmission Data:
Absorbance can also generate an absorbance spectrum from a transmission spectrum using the following formula:

Convert percent transmission to absorance.

where %T is the percent transmittance value.  This is a calculation from data that has already been collected.

Reflectance
Reflectance calculates a reflectance spectrum from a sample and reference single-beam spectra or from an log 1/R spectrum.

From Two Single-Beam Spectra:
Reflectance can produce a reflectance spectrum from two single-beam spectra using the following formula:

Percent reflectance calculation.

where R is the single beam spectrum of the reference material, S is the single beam spectrum of the sample and D is the dark counts of the system.