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This is Chemometrics in Spectroscopy Column Number 251. In Column Number 250, we left you with a puzzle. We had just shown that a little-known piece of two-hundred-year-old mathematics, Lagrange's method of undetermined multipliers, could force an MLR calibration to ignore one particular, carefully chosen direction of repack-induced spectral change. It worked, but it only handled one direction at a time, and we admitted we had no idea whether the trick could be extended to PCR or PLS. That bothered us. So in this installment we go looking for the more general version of the idea, and we find it sitting in some very good recent work by Neal Gallagher and Nathanial Watson on what they call clutter suppression (a framework built for a completely different problem, target detection in hyperspectral imaging, that turns out to fit ours almost perfectly). Put the two together and you get an algorithm that whitens the calibration spectra with a clutter covariance matrix estimated from repack replicates, then hands the whitened data to the same Lagrangian machine we built last time. The payoff: the correction now generalizes to several, non-proportional directions of diffuse-reflection variability at once, and, because it is just a preprocessing step, it works ahead of PLS and PCR as well as MLR, which finally answers the question we could not answer before. This approach may very well be an answer to repack variation in repeated solid or slurry sample measurements using diffuse reflection. In this column we change gears with our writing tone and format by taking a "chemometry" approach, rather than a strict tutorial one. In future columns we hope to "unpack" this information in our more typical extended and tutorial manner. Let's explore solving this repack variation problem together.

Fourier-transform infrared spectroscopy, a technique built on a scanning mirror invented before the moon landing, is quietly being rebuilt from the ground up. Light combs, photothermal probes, and chip-scale photonics are pushing infrared analysis past resolution and speed limits that stood for six decades.

Infrared (IR) spectroscopy, paired with statistical modeling, can non-destructively distinguish human, dog, and cat bloodstains on sand and soil, offering a preliminary proof-of-concept for field-deployable forensic screening tools.

Exploitation of Fiber Laser Induced Breakdown Spectroscopy on the Quantitative Analysis of Aluminum Alloys
A study using fiber laser induced breakdown spectroscopy (FL-LIBS) to evaluate how pulse width and repetition rate affect the quantitative analysis of elements in aluminum alloys, reporting improved detection sensitivity and limit of detection at high repetition rate.

The following articles are the most accessed digital object identifier (DOI) manuscripts for Spectroscopy and LCGC International during the month of July 2026. Nine articles are ranked here by DOI page views; a tenth entry in the July report (135 views) was recorded against the bare journal-level DOI rather than an individual article and is therefore not attributable to a single manuscript.

Thomas G. Mayerhöfer on The Forgotten Half of Beer's Law: How Refractive-Index and Complex-Valued Chemometrics Are Rewriting Quantitative Spectroscopy
For 170 years, spectroscopists have built quantitative analysis on only one number pulled from every spectrum they ever recorded, discarding its inseparable twin. New dispersion-theory and complex-valued chemometric methods recover that missing half, the refractive index, and in favorable systems cut calibration error by as much as an order of magnitude.

Nearly every diabetic on earth still stabs a finger to measure their blood sugar, but a small army of lasers, infrared beams, and machine-learning algorithms is quietly plotting to end that ritual for good. This review tracks the photons chasing glucose through skin, from near-infrared reflectance to Raman fingerprints, and asks why the “needle-free” promise keeps slipping just out of reach.

Classical Least Squares and Clutter Suppression
A technical white paper deriving the classical least squares (CLS) and weighted least squares (WLS) models and showing how generalized least squares (GLS) and extended least squares (ELS) extend CLS to provide clutter suppression for characterized interference signals in spectroscopic and hyperspectral measurements.

Measuring neonicotinoids in drinking water is not heavily regulated in the United States, but low-cost, rapid analytical tools are changing the conversation.

A rule proposed by the White House Office of Management and Budget (OMB) would give political appointees final authority over discretionary grant decisions ahead of peer reviewers, allow agencies to terminate active grants without a formal right of appeal, and restrict international collaboration and publication funding across federal science agencies. For the optical, molecular, vibrational, and atomic spectroscopy community, the proposal could affect the grants, journal support, and student and postdoctoral positions that sustain the field.

Can spectroscopy help cities manage water quality during monsoons?

A new review in Food Physics finds that combining near-infrared spectroscopy with machine learning is transforming food quality testing across sectors like meat, dairy, and produce.

The following articles are the 10 most accessed digital object identifier (DOI) manuscripts for Spectroscopy and LCGC International during the month of June 2026.

A new artificial intelligence (AI) interpretability method developed at Zhejiang Police College was designed to improve transparency in Raman spectroscopy classification by segmenting spectral data into continuous regions and quantifying each region's contribution to model decisions.

Monitoring wood coating decay proactively ensures the safety of commercial wood used for construction.

Spectroscopy’s “What’s Nu” newsletter in May highlights the development of lasers in spectroscopy, compensating for repack variation in near-infrared (NIR) spectroscopy, and validity by design.

What were attendees talking about the most at Spring SciX?

In their milestone 250th column, Howard Mark and Jerome Workman, Jr. describe a mathematically rigorous algorithm that minimizes or eliminates sampling repack variation in near-infrared spectroscopy. The method separates systematic spectral changes caused by sample rearrangement from true compositional information, enabling more robust calibration models and significantly improving analytical repeatability for powdered and heterogeneous solid samples.

Over the past two years, Spectroscopy magazine has extensively documented and analyzed the growing role of artificial intelligence in spectroscopy through articles, interviews, podcasts, and technical features, highlighting both its hype and its potential as a transformative advancement in data processing and analytical science.

Spectroscopy is playing an increasingly important role in detecting adulteration in food products. We highlight some of the recent research on this topic in this Q&A.

Can visible-near-infrared (vis-NIR) spectroscopy detect toxic trace elements in soil and sediments effectively?

Researchers at the National University of Singapore have demonstrated that widely used spectroscopic methods for detecting adulteration in edible bird's nest products are based on a false assumption — that genuine product has a uniform chemical signature.

This preview of the upcoming Chemometrics in Analytical Chemistry (CAC) 2026 International conference covers the invited speakers, the topics that will be discussed, and some of the social events taking place.

Spectroscopy is telling us the extraterrestrial history of space objects, helping us learn about planetary origins.

Insights from experts this week explored topics such as career transitions in spectroscopy, how near-infrared (NIR) spectroscopy can study collagen in archaeological remains, and the key takeaways from the Spring SciX Conference in Exeter, United Kingdom.














