{"id":6241,"date":"2026-01-19T09:56:55","date_gmt":"2026-01-19T09:56:55","guid":{"rendered":"https:\/\/www.hcftir.com\/?p=6241"},"modified":"2026-01-20T01:37:08","modified_gmt":"2026-01-20T01:37:08","slug":"quantitative-ftir-analysis-laboratory-applications-of-the-beer-lambert-law","status":"publish","type":"post","link":"https:\/\/www.hcftir.com\/es\/quantitative-ftir-analysis-laboratory-applications-of-the-beer-lambert-law-article\/","title":{"rendered":"An\u00e1lisis Cuantitativo FTIR: Aplicaciones de laboratorio de la ley de Beer-Lambert"},"content":{"rendered":"<p><a href=\"https:\/\/www.hcftir.com\/infrared-spectrometer-category\/\">Espectroscopia infrarroja por transformada de Fourier<\/a> (FTIR) se utiliza ampliamente en los an\u00e1lisis de laboratorio modernos debido a su rapidez, no destructividad y capacidad para manejar m\u00faltiples fases de muestra. El FTIR cuantitativo, basado en la <strong>Ley Beer-Lambert<\/strong>permite determinar con precisi\u00f3n las concentraciones de componentes en muestras s\u00f3lidas, l\u00edquidas y gaseosas. Esta t\u00e9cnica se aplica com\u00fanmente en qu\u00edmica org\u00e1nica, ciencia de materiales, productos farmac\u00e9uticos, control de calidad de alimentos y monitorizaci\u00f3n medioambiental. Este art\u00edculo proporciona una visi\u00f3n sistem\u00e1tica de los principios, m\u00e9todos, aplicaciones y consideraciones operativas clave para la FTIR cuantitativa, ofreciendo una gu\u00eda pr\u00e1ctica para los procedimientos de laboratorio estandarizados.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis.webp\" alt=\"An\u00e1lisis FTIR cuantitativo\" class=\"wp-image-6247\" srcset=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis.webp 1024w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-300x225.webp 300w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-768x576.webp 768w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-16x12.webp 16w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">I. Principios b\u00e1sicos de la ley de Beer-Lambert en FTIR<\/h2>\n\n\n\n<p>La Ley de Beer-Lambert establece una relaci\u00f3n lineal entre la absorci\u00f3n de la luz, la concentraci\u00f3n de la muestra y la longitud del camino \u00f3ptico, constituyendo la base del an\u00e1lisis espectral cuantitativo. En FTIR, se necesitan adaptaciones para tener en cuenta las caracter\u00edsticas de la luz infrarroja y los estados de la muestra.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1.1 F\u00f3rmulas clave<\/h3>\n\n\n\n<p><strong>Forma de absorci\u00f3n molar (muestras l\u00edquidas y gaseosas):<\/strong> A=\u03b5bcA = \\varepsilon bcA=\u03b5bc<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>AAA: Absorbancia tras la correcci\u00f3n de la l\u00ednea de base<\/li>\n\n\n\n<li>\u03b5\\varepsilon\u03b5: Absortividad molar (L\u22c5mol-1\u22c5cm-1\\mathrm{L\\cdot mol^{-1}\\cdot cm^{-1}}L\u22c5mol-1\u22c5cm-1).<\/li>\n\n\n\n<li>bbb: Longitud del camino (cm)<\/li>\n\n\n\n<li>ccc: Concentraci\u00f3n molar del analito (mol\u22c5L-1\\mathrm{mol\\cdot L^{-1}}mol\u22c5L-1).<\/li>\n<\/ul>\n\n\n\n<p><strong>Forma de absorci\u00f3n de masa (muestras s\u00f3lidas):<\/strong> A=abcA = abcA=abc<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>aaa: Coeficiente de absorci\u00f3n de masa (cm2\u22c5g-1\\mathrm{cm^2\\cdot g^{-1}}cm2\u22c5g-1).<\/li>\n\n\n\n<li>ccc: Concentraci\u00f3n m\u00e1sica del analito (g\u22c5cm-3\\mathrm{g\\cdot cm^{-3}}g\u22c5cm-3).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-2.webp\" alt=\"An\u00e1lisis FTIR cuantitativo\" class=\"wp-image-6246\" srcset=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-2.webp 1024w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-2-300x225.webp 300w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-2-768x576.webp 768w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-2-16x12.webp 16w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">1.2 Requisitos previos para FTIR cuantitativo<\/h3>\n\n\n\n<p>Para obtener resultados cuantitativos fiables, deben cumplirse las siguientes condiciones:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Aproximaci\u00f3n monocrom\u00e1tica:<\/strong> Seleccione rangos de n\u00famero de onda estrechos (\u00b12 cm-\u00b9) para los picos caracter\u00edsticos para simular condiciones de luz monocrom\u00e1tica.<\/li>\n\n\n\n<li><strong>No hay p\u00e9rdida de luz:<\/strong> Las muestras deben ser uniformes y no presentar dispersi\u00f3n ni turbidez.<\/li>\n\n\n\n<li><strong>Coeficiente de absorci\u00f3n estable:<\/strong> Evitar interacciones con disolventes\/matrices o autoagregaci\u00f3n de analitos.<\/li>\n\n\n\n<li><strong>Rango \u00f3ptimo de absorbancia:<\/strong> Mantener el pico de absorbancia caracter\u00edstico entre 0,2-2,0 para asegurar la linealidad.<\/li>\n\n\n\n<li><strong>No se solapan los picos:<\/strong> Aseg\u00farese de que los picos del analito no se solapan con la absorci\u00f3n de fondo o de la matriz.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-3.webp\" alt=\"An\u00e1lisis FTIR cuantitativo\" class=\"wp-image-6245\" srcset=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-3.webp 1024w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-3-300x225.webp 300w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-3-768x576.webp 768w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-3-16x12.webp 16w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">II. M\u00e9todos cuantitativos FTIR en el laboratorio<\/h2>\n\n\n\n<p>La elecci\u00f3n del m\u00e9todo depende de la complejidad de la muestra, la cantidad de analito y la precisi\u00f3n requerida.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-4.webp\" alt=\"An\u00e1lisis FTIR cuantitativo\" class=\"wp-image-6244\" srcset=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-4.webp 1024w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-4-300x225.webp 300w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-4-768x576.webp 768w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-4-16x12.webp 16w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">2.1 M\u00e9todo de la curva de calibraci\u00f3n (patr\u00f3n externo)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Establecer una curva de calibraci\u00f3n lineal utilizando est\u00e1ndares con concentraciones conocidas.<\/li>\n\n\n\n<li>Medir la absorbancia de la muestra desconocida y calcular la concentraci\u00f3n a partir de la curva.<\/li>\n\n\n\n<li><strong>Ventajas:<\/strong> Sencillo, de baja carga computacional, adecuado para an\u00e1lisis de alto rendimiento.<\/li>\n\n\n\n<li><strong>Aplicaciones:<\/strong> Muestras monocomponentes, determinaci\u00f3n del contenido de agua en disolventes, impurezas de metanol en etanol.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2.2 M\u00e9todo del patr\u00f3n interno<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Introduce un patr\u00f3n interno estable para corregir los errores sistem\u00e1ticos.<\/li>\n\n\n\n<li>Utiliza relaciones de absorbancia para la calibraci\u00f3n, lo que mejora la precisi\u00f3n.<\/li>\n\n\n\n<li><strong>Aplicaciones:<\/strong> Matrices complejas, aditivos polim\u00e9ricos, principios activos farmac\u00e9uticos, muestras s\u00f3lidas.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2.3 M\u00e9todo de adici\u00f3n est\u00e1ndar<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A\u00f1ade cantidades conocidas de analito a la muestra desconocida para mitigar los efectos de la matriz.<\/li>\n\n\n\n<li><strong>Aplicaciones:<\/strong> Trazas de impurezas en pol\u00edmeros, muestras de aguas ambientales, mon\u00f3meros residuales.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2.4 Deconvoluci\u00f3n y ajuste de picos<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Separa los picos superpuestos mediante software FTIR y ajuste matem\u00e1tico.<\/li>\n\n\n\n<li><strong>Aplicaciones:<\/strong> An\u00e1lisis multicomponente de copol\u00edmeros, hidrocarburos de petr\u00f3leo, mezclas org\u00e1nicas complejas.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"733\" src=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-5.webp\" alt=\"An\u00e1lisis FTIR cuantitativo\" class=\"wp-image-6243\" srcset=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-5.webp 1024w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-5-300x215.webp 300w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-5-768x550.webp 768w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-5-18x12.webp 18w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">III. Aplicaciones t\u00edpicas de laboratorio<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Qu\u00edmica org\u00e1nica<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Detecci\u00f3n de trazas de humedad en disolventes mediante picos de estiramiento O-H (~3400 cm-\u00b9).<\/li>\n\n\n\n<li>An\u00e1lisis de la pureza de las materias primas comparando los picos de los componentes principales con los de las impurezas.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Ciencia de los materiales<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>An\u00e1lisis cuantitativo de la composici\u00f3n del copol\u00edmero y de los aditivos polim\u00e9ricos.<\/li>\n\n\n\n<li>Utilizar m\u00e9todos de adici\u00f3n de patr\u00f3n interno o patr\u00f3n para tener en cuenta los efectos de la matriz.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Productos farmac\u00e9uticos<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Determinaci\u00f3n de principios activos en comprimidos, c\u00e1psulas y preparados sin disoluci\u00f3n.<\/li>\n\n\n\n<li>Pruebas de homogeneidad de las formulaciones mediante an\u00e1lisis no destructivos.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">An\u00e1lisis alimentario y medioambiental<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cuantificaci\u00f3n r\u00e1pida de grasas, prote\u00ednas y carbohidratos en muestras de alimentos.<\/li>\n\n\n\n<li>Detecci\u00f3n de COV en el aire, CO\u2082 en emisiones industriales, hidrocarburos de petr\u00f3leo en el suelo y fenoles en el agua.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Qu\u00edmica inorg\u00e1nica<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cuantificaci\u00f3n de aniones inorg\u00e1nicos (por ejemplo, carbonatos, nitratos) y compuestos de coordinaci\u00f3n mediante la preparaci\u00f3n de muestras s\u00f3lidas en pellets de KBr.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">IV. Consideraciones pr\u00e1cticas operativas<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">4.1 Preparaci\u00f3n de la muestra<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Muestras s\u00f3lidas:<\/strong> Utilizar KBr de grado espectral (\u226599,99%), moler a &lt;2 \u03bcm, prensar en gr\u00e1nulos transparentes y sin grietas.<\/li>\n\n\n\n<li><strong>Muestras l\u00edquidas:<\/strong> Utilizar cubetas l\u00edquidas de trayecto fijo (NaCl\/KBr), evitar la turbidez, garantizar un trayecto \u00f3ptico coherente.<\/li>\n\n\n\n<li><strong>Muestras de gas:<\/strong> Utilice c\u00e1maras selladas con longitud de trayecto controlada, purgue con N\u2082 de gran pureza para eliminar la humedad y el aire.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4.2 Calibraci\u00f3n y mantenimiento de los instrumentos<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calibrar el n\u00famero de onda con una pel\u00edcula de poliestireno; mantener el error &lt; \u00b11 cm-\u00b9.<\/li>\n\n\n\n<li>Utilice muestras est\u00e1ndar para verificar la longitud del camino \u00f3ptico.<\/li>\n\n\n\n<li>Limpie peri\u00f3dicamente la \u00f3ptica, elimine la humedad\/CO\u2082 interferencias y compruebe el estado de la fuente de luz y del detector.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4.3 Tratamiento espectral<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Seleccione picos fuertes, sim\u00e9tricos y no superpuestos.<\/li>\n\n\n\n<li>Realice la correcci\u00f3n de la l\u00ednea de base, el suavizado y la medici\u00f3n del \u00e1rea del pico para una cuantificaci\u00f3n precisa.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"768\" src=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-6.webp\" alt=\"An\u00e1lisis FTIR cuantitativo\" class=\"wp-image-6242\" srcset=\"https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-6.webp 768w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-6-300x300.webp 300w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-6-150x150.webp 150w, https:\/\/www.hcftir.com\/wp-content\/uploads\/2026\/01\/Quantitative-FTIR-Analysis-6-12x12.webp 12w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">V. Ventajas y limitaciones<\/h2>\n\n\n\n<p><strong>Ventajas:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>No destructivo; adecuado para muestras preciosas.<\/li>\n\n\n\n<li>Se requiere un peque\u00f1o volumen de muestra.<\/li>\n\n\n\n<li>Medici\u00f3n directa y eficaz sin derivatizaci\u00f3n.<\/li>\n\n\n\n<li>Aplicable a muestras s\u00f3lidas, l\u00edquidas y gaseosas.<\/li>\n<\/ul>\n\n\n\n<p><strong>Limitaciones:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Menor sensibilidad en comparaci\u00f3n con la espectroscopia UV-Vis (l\u00edmites de detecci\u00f3n de 0,01-0,1%).<\/li>\n\n\n\n<li>El solapamiento de picos en matrices complejas puede requerir la deconvoluci\u00f3n y el ajuste de picos.<\/li>\n\n\n\n<li>Depende de la matriz; deben prepararse curvas de calibraci\u00f3n para cada sistema.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">VI. Resumen y perspectivas<\/h2>\n\n\n\n<p>La Ley de Beer-Lambert es fundamental para el FTIR cuantitativo. Una aplicaci\u00f3n fiable requiere un funcionamiento estandarizado, una cuidadosa selecci\u00f3n de m\u00e9todos y un control de errores. Avances como el micro-FTIR y el ATR-FTIR mejoran la sensibilidad y la tolerancia a la matriz. Con las pr\u00e1cticas de laboratorio adecuadas, FTIR proporciona <strong>an\u00e1lisis cuantitativos r\u00e1pidos, no destructivos y precisos<\/strong> qu\u00edmica, materiales, productos farmac\u00e9uticos, alimentos y control medioambiental.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>M\u00e9todo<\/th><th>Principio<\/th><th>Ventajas<\/th><th>Aplicaciones<\/th><\/tr><\/thead><tbody><tr><td>Curva de calibraci\u00f3n (patr\u00f3n externo)<\/td><td>Relaci\u00f3n lineal entre absorbancia y concentraci\u00f3n<\/td><td>Sencillo, baja carga computacional<\/td><td>Muestras monocomponentes, agua en disolventes, impurezas del alcohol<\/td><\/tr><tr><td>Norma interna<\/td><td>Utilizar la relaci\u00f3n de absorbancia entre el analito y el patr\u00f3n interno<\/td><td>Corrige los errores de preparaci\u00f3n y de los instrumentos<\/td><td>Matrices complejas, pol\u00edmeros, productos farmac\u00e9uticos<\/td><\/tr><tr><td>Adici\u00f3n est\u00e1ndar<\/td><td>A\u00f1adir analito conocido a la muestra para tener en cuenta la matriz<\/td><td>Elimina los efectos de matriz<\/td><td>Trazas de impurezas en pol\u00edmeros, aguas ambientales, mon\u00f3meros residuales<\/td><\/tr><tr><td>Deconvoluci\u00f3n y ajuste de picos<\/td><td>Separaci\u00f3n de picos superpuestos mediante software<\/td><td>Permite la cuantificaci\u00f3n multicomponente<\/td><td>Copol\u00edmeros, hidrocarburos de petr\u00f3leo, productos org\u00e1nicos multicomponentes<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">M\u00e9todos FTIR cuantitativos comunes<\/figcaption><\/figure>","protected":false},"excerpt":{"rendered":"<p>La espectroscopia infrarroja por transformada de Fourier (FTIR) se utiliza ampliamente en los an\u00e1lisis de laboratorio modernos debido a su rapidez, no destructividad y capacidad para manejar m\u00faltiples fases de muestra. La FTIR cuantitativa, basada en la ley de Beer-Lambert, permite determinar con precisi\u00f3n las concentraciones de componentes en muestras s\u00f3lidas, l\u00edquidas y gaseosas. Esta t\u00e9cnica se aplica com\u00fanmente en qu\u00edmica org\u00e1nica, ciencia de materiales, productos farmac\u00e9uticos, alimentos [...]<\/p>","protected":false},"author":1,"featured_media":6247,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[238],"tags":[],"class_list":["post-6241","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quantitative FTIR Analysis: Laboratory Applications of the Beer\u2013Lambert Law - Hench Technology<\/title>\n<meta name=\"description\" content=\"Learn how quantitative FTIR analysis applies the Beer\u2013Lambert Law for precise determination of solids, liquids, and gases. 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