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Widmark Formula

Definition

A = r × W × C, where A is total alcohol in body (g), W is body weight (kg), C is BAC (g per kg), and r is the Widmark factor (about 0.68 for men, 0.55 for women). Used for back-calculation of dose or BAC at time of incident.

Formula
A = r x W x C
A
Total alcohol in the body (grams)
W and C
Body weight (kg) and BAC (g/kg)
Use
Back-calculation of dose or BAC at time of incident

Common questions

What assumption does the Widmark formula rely on that limits its accuracy?+

It assumes ethanol distributes uniformly and instantly through body water and that elimination proceeds at a constant zero-order rate, assumptions that do not always hold precisely for a given individual, drinking pattern, or absorption phase.

How is the Widmark formula extended to estimate BAC at an earlier time, such as the time of a road accident?+

Analysts add a back-extrapolation term using an assumed or measured elimination rate per hour to the measured BAC at testing time, though this back-calculation carries additional uncertainty from individual variation in elimination rate and whether absorption was complete.

Related terms

ADH Assay
Alcohol dehydrogenase enzymatic assay. Ethanol plus NAD+ gives acetaldehyde plus NADH; NADH absorbance at 340 nm is proportional to ethanol concentration. Fast...
BAC
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Fuel-Cell Breath Analyser
Electrochemical sensor: ethanol oxidises at a platinum electrode generating a current proportional to BrAC. Specific for ethanol, used in Drager Alcotest and...
Headspace GC-FID
Gas chromatography with flame-ionisation detection run on the vapour above a sealed sample. The standard forensic method for methanol and ethanol in...
IR Breath Analyser
Infrared absorption at about 3.4 micrometres (C-H stretch) or 9.5 micrometres (C-O stretch). Specific and quantitative; used in Intoxilyzer 8000 and evidential...
Putrefactive Ethanol
Ethanol produced post-mortem by microbial fermentation of glucose, lactate and amino acids. Can give false-positive BAC; vitreous humor is the matrix of...
Wet-Bath Simulator
Calibration accessory holding a 0.10 g per L aqueous ethanol solution at 34 degrees Celsius. The vapour above gives a known reference...

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