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European Pharmacopoeia 2.2.5. Relative Density

What is relative density?

The European Pharmacopeia (Ph. Eur.) uses the term relative density, also known as specific gravity. It is the ratio of the density of a substance to the density of a reference substance, typically water for liquids. It is a dimensionless quantity, meaning it has no units, because it represents a comparison between two densities. 

Relative density indicates whether a substance will float or sink in the reference material – values greater than one mean it is denser than the reference, while values less than one mean it is less dense. Unless otherwise indicated, the relative density d20/20 is used in European Pharmacopeia. It indicates the ratio of density of measured material at 20 °C vs. density of water at 20 °C. It can be calculated in the following way based on the density measured at 20 °C (ρ20).

d20/20 = 1.00180 × ρ20

Relative density in the European Pharmacopoeia (Ph. Eur.)

Ph. Eur. Section 2.2.5 provides guidance on measuring relative density and density. It defines the relative density as the ratio of a substance's mass at one temperature to an equal volume of water at another, typically expressed as d20/20 or d20/4. 
Digital density meters – as also explained in Ph. Eur. – use oscillating transducers to achieve high accuracy without air buoyancy interference, relying on regular calibration and control measurements to ensure precise results.

Understanding relative density in pharmaceuticals

Fundamental concepts

Density and relative density are both measures that involve mass and volume, but they serve distinct purposes and are expressed differently.
Density is an absolute measure of how much mass is contained within a unit volume of a substance, typically expressed in units like kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³). It quantifies how "packed" a material is in a defined space, making it an intrinsic property that remains constant regardless of sample size or conditions (under constant temperature and pressure).
Relative density, however, is a dimensionless ratio that compares the density of a substance to that of a reference material (commonly water as explained above). 
In practical terms, density gives a straightforward measure of a material’s mass per unit volume, while relative density offers a comparative perspective.

Significance in pharmaceutical analysis

Measuring relative density is crucial for determining the compatibility and stability of ingredients, which affects the formulation and quality of the product. It helps in assessing how materials will interact, mix, and sediment, ensuring consistent dosing and efficacy. 
Relative density also aids in selecting appropriate solvents, carriers, and storage conditions. By understanding these factors, pharmaceutical companies can produce safer and more effective medications.

Methods for determining relative density (Ph. Eur. 2.2.5.)

Under the European Pharmacopoeia, relative density can be assessed using various methodologies, ensuring compliance and accuracy across pharmaceutical manufacturing. The sanctioned techniques  include:

  • Density bottle
  • Hydrostatic balance
  • Hydrometer
  • Oscillating transducer density meter

Typical formulations where specific gravity is a Critical Quality Attribute:
Measuring the density of liquid and semi-liquid dosage forms is essential for several types of pharmaceuticals. Here are specific dosage forms where density determination plays a crucial role:

Solutions

Injectable solutions: In parenteral preparations such as intravenous solutions, precise density measurements are essential. They ensure accurate dosing, which is critical for avoiding potential overdosing or underdosing, and verify the concentration of active ingredients to maintain therapeutic effectiveness.

Oral solutions: Liquid formulations for oral administration require density measurements to control the composition, ensuring consistent therapeutic effects and patient compliance.

Technical insight: Digital density meters typically require a lower sample volume than traditional measurements and provide faster results. This technology reduces the risk of contamination and improves efficiency in high-throughput settings.

Suspensions

Oral suspensions: Density determination is critical for ensuring uniformity in suspensions, as the density can influence the stability and settling of solid particles. Accurate density measurement prevents the settling of particles, thereby ensuring the stability and efficacy of the suspension throughout its intended use.

Injectable suspensions: Similar to oral suspensions, density measurements in parenteral suspensions are important for ensuring proper dosing and stability. This helps prevent complications such as clogging of administration devices and ensures uniform delivery of the medication.

Methodology: Measurements with digital density meters must be adjusted for sensitivity to inhomogeneities, a feature that needs to be toggled to accommodate different sample types and enhance measurement accuracy.

Emulsions

Creams and lotions: In topical emulsions, density can affect the spreadability and stability of the product. Consistent density measurements ensure that formulations meet quality standards. Accurate density ensures that emulsions remain stable over time without separating, ensuring consistent effectiveness.

Parenteral emulsions: For intravenous lipid emulsions, density determination is crucial for ensuring proper mixing and stability. This is vital for patient safety as improper density can lead to incorrect dosing rates and potential health risks.

Operational factors: Adjusting for environmental factors like temperature and humidity is crucial during the density measurement of emulsions to ensure accuracy and reliability.

Gels

Topical gels: Density measurements help assess the consistency and stability of gels, which can be important for therapeutic efficacy and patient satisfaction. This ensures that the gel delivers the therapeutic effect consistently each time it is used.

Surgical gels: Density plays a role in the handling properties of surgical gels, which are used for lubrication or as adhesives during surgical procedures. Maintaining the correct density is crucial for the effective performance of surgical gels during procedures.

Challenges and solutions: The highly viscous samples can lead to improper density values when measuring with digital density meters but Anton Paar’s Pulsed Oscillation Method ensures proper viscosity correction ultimately resulting in correct density values.

Ointments and pastes

Semi-solid preparations: While primarily semi-liquid, ointments and pastes require density measurement to ensure uniformity and proper formulation, especially when they contain active ingredients in varying concentrations. Correct density ensures even distribution of the active ingredients, crucial for the efficacy of the product.

Syrups

Cough syrups and medicinal syrups: Density is essential in syrup formulations to guarantee the correct concentration of sugar, flavoring agents, and active ingredients, impacting both stability and efficacy. Accurate density measurements ensure that syrups are both effective in treatment and acceptable in taste.

Aerosols and sprays

Metered-dose inhalers (MDIs): For aerosol formulations, density determination helps ensure the proper dose of medication is delivered with each actuation, as density influences the formulation's pressure and flow characteristics. This is crucial for the consistency and reliability of dosing in respiratory treatments.

Topical sprays: Density is important for ensuring uniformity and performance in spray formulations, affecting factors like droplet size and distribution. Ensuring correct density is key to achieving the intended coverage and therapeutic effect of topical sprays.

Importance of density measurement

In each of these dosage forms, accurate density measurements are critical for several reasons:

  • Dosage accuracy: Ensures that patients receive the correct amount of active ingredient.
  • Stability: Helps predict and maintain the physical stability of the formulation.
  • Regulatory compliance: Meets the requirements set by regulatory bodies for product quality and consistency.
  • Quality control: Serves as a quality control parameter during manufacturing and batch release testing.

Overall, density determination is a vital aspect of ensuring the safety, efficacy, and quality of various liquid and semi-liquid pharmaceutical dosage forms.

Applications in quality control

The European Pharmacopoeia (Ph. Eur.) sets uniform quality standards across the European pharmaceutical industry to ensure the quality of medicines and their manufacturing substances. It is a comprehensive collection of monographs detailing quality requirements for ingredients, dosage forms, and analytical methods used in medicine production.

Materials requiring relative density determination

All materials from the official monographs of the European Pharmacopoeia 11th edition 5th issue (Ph. Eur. 11.5.) are listed in the following table which require the determination of relative density and thereby refer to the chapter to 2.2.5. Besides, the eventually required acceptance range for “2.2.6. Refractive index” and “2.2.7. Optical Rotation” is also provided.

 

Material from monograph Typical uses 2.2.5 Relative density measurement 2.2.6 Refractive index 2.2.7 Optical rotation
Benzyl benzoate Active pharmaceutical ingredient 1.118 to 1.122 1.568 to 1.570 -
Hydroxyethyl salicylate Active pharmaceutical ingredient 1.252 to 1.257 1.548 to 1.551 -
Clofibrate Active pharmaceutical ingredient 1.138 to 1.147 1.500 to 1.505 -
Crotamiton Active pharmaceutical ingredient 1.006 to 1.011 1.540 to 1.542 -
Eugenol Active pharmaceutical ingredient 0.790 to 0.793 1.540 to 1.542 -
Hexetidine Active pharmaceutical ingredient 0.864 to 0.870 1.461 to 1.467 -0.10° to +0.10°
Malathion Active pharmaceutical ingredient 1.220 to 1.240 - -0.1° to +0.1°
Paraldehyde Active pharmaceutical ingredient 0.991 to 0.996 1.403 to 1.406 -
Methyl salicylate Active pharmaceutical ingredient 1.182 to 1.188 1.535 to 1.538 -
Halothane Active pharmaceutical ingredient 1.872 to 1.877 - -
Phenoxyethanol Active pharmaceutical ingredient 1.105 to 1.110 1.537 to 1.539 -
Trolamine Active pharmaceutical ingredient 1.120 to 1.130 1.482 to 1.485 -
Acetone Solvent 0.790 to 0.793 - -
Ammonia solution, concentrated Solvent 0.892 to 0.910 - -
Ethanol (96 percent) Solvent 0.805 to 0.812 - -
Ethanol, anhydrous Solvent 0.790 to 0.793 - -
Ether Solvent 0.714 to 0.716 - -
Isopropyl alcohol Solvent 0.785 to 0.789 1.376 to 1.379 -
Methanol Solvent 0.791 to 0.793 1.328 to 1.330 -
Dimethyl sulfoxide Solvent 1.100 to 1.104 1.478 to 1.480 -
Benzalkonium chloride solution Solvent Relative density needs to be determined of test solutions for LC analysis. No range given. - -
Solutions for haemodialysis  Solvent Based on the relative density (2.2.5) of the concentrated solution and the content in grams per liter and in millimoles per liter can be calculated. - -
Methylene chloride Solvent 1.320 to 1.332 1.423 to 1.425 -
Propylene glycol Solvent 1.035 to 1.040 1.439 to 1.442 -
Ethyl acetate Solvent 0.898 to 0.902 1.370 to 1.373 -
Triacetin Solvent 1.159 to 1.164 1.429 to 1.432 -
Glycerol formal Solubility enhancer 1.210 to 1.220 1.445 to 1.455 -
Cresol, crude Reagent 1.029 to 1.044 - -
Pyrrolidone Reagent 1.112 to 1.115 1.487 to 1.490 -
Caprylic acid Reagent 0.909 to 0.912 - -
Formic acid Reagent 1.217 to 1.223 - -
Lactic acid Reagent 1.20 to 1.21 - -
Ethylenediamine Reagent 0.895 to 0.905  - -
Dibutyl phthalate Reagent 1.043 to 1.048 1.490 to 1.495 -
Ethanolamine Reagent 1.016 to 1.019 1.453 to 1.459 -
Dimethylacetamide Additive 0.941 to 0.944  1.435 to 1.439 -
Glycerol Additive 1.258 to 1.268 1.470 to 1.475 -
Glycerol (85 per cent) Additive 1.221 to 1.232 1.449 to 1.455 -
Diethyl phthalate Additive 1.117 to 1.121 1.500 to 1.505 -
Polyacrylate dispersion 30 per cent Additive 1.037 to 1.047 - -
Anise oil Essential oil 0.980 to 0.990 1.552 to 1.561 -
Bitter-fennel fruit oil Essential oil 0.961 - 0.975 1.528 to 1.539 +10.0° to +24.0°
Bitter-fennel herb oil Essential oil 0.877 to 0.921 (Spanish type)
0.940 to 0.973 (Tasmanian type)
1.487 to 1.501 (Spanish type) +42° to +68° (Spanish type)
Caraway oil Essential oil 0.904 to 0.920 1.484 to 1.490 +65° to +81°
Cassia oil Essential oil 1.052 to 1.070 1.600 to 1.614 -1° to +1°
Cinnamon bark oil, Ceylon Essential oil 1.000 to 1.030 1.572 to 1.591 -2° to +1
Cinnamon leaf oil, Ceylon Essential oil 1.030 to 1.059 1.527 to 1.540 -2.5° to +2.0°
Citronella oil Essential oil 0.881 to 0.895 1.463 to 1.475 -4° to +1.5°
Clary sage oil Essential oil 0.890 to 0.908 1.456 to 1.466 -26° to -10°
Clove oil Essential oil 1.030 to 1.063 1.528 to 1.537 -2° to 0°
Coriander oil Essential oil 0.860 to 0.880 1.462 to 1.470 +7° to +13°
Dwarf pine oil Essential oil 0.857 to 0.870 1.474 to 1.480 -15° to -6°
Eucalyptus oil Essential oil 0.906 to 0.927 1.458 to 1.470 0° to +10°
Juniper oil Essential oil 0.857 to 0.876 1.471 to 1.483 -15° to -0.5°
Lavender oil Essential oil 0.878 to 0.892 1.455 to 1.466 -12.5° to - 6.0°
Lemon oil Essential oil 0.850 to 0.858 1.473 to 1.476 +5.7° to +7.0°
Mandarin oil Essential oil 0.848 to 0.855 1.474 to 1.478 +6.4° to +7.5°
Mint oil, partly dementholized Essential oil 0.888 to 0.910 1.456 to 1.470 -16.0° to -34.0°
Neroli oil Essential oil 0.863 to 0.880 1.464 to 1.474 +1.5° to +11.5°
Niaouli oil, cineole type Essential oil 0.904 to 0.925 1.463 to 1.472 -4° to +1°
Nutmeg oil Essential oil 0.885 to 0.905 1.475 to 1.485 +8° to +18°
Peppermint oil Essential oil 0.900 to 0.916 1.457 to 1.467 -30° to -10°
Peru balsam Essential oil 1.14 to 1.17 - -
Pine sylvestris oil Essential oil 0.855 to 0.875 1.465 to 1.480 -9° to -30°
Rosemary oil Essential oil 0.895 to 0.920 1.464 to 1.473 -5° to +8°
Spanish sage oil Essential oil 0.907 to 0.932 1.465 to 1.473 +7° to +17°
Spike lavender oil Essential oil 0.894 to 0.907 1.461 to 1.468 -7° to +2°
Tea tree oil Essential oil 0.885 to 0.906 1.475 to 1.482 +5° to +15°
Thyme oil, thymol type Essential oil 0.915 to 0.935 1.490 to 1.505 -
Turpentine oil Essential oil 0.856 to 0.872 1.465 to 1.475 -40° to  -28°
Purple coneflower herb expressed juice, stabilized with ethanol Herbal Extracts 0.970 to 1.020 - -
Purple coneflower herb expressed juice, stabilized without ethanol Herbal Extracts 1.000 to 1.100 - -
Saw palmetto extract Herbal Extracts 0.850 to 0.950 1.40 to 1.50 -
Decyl oleate Oily substance 0.860 to 0.870 - -
Ethyl oleate Oily substance 0.866 to 0.874 - -
Propylene glycol dicaprylocaprate Oily substance 0.910 to 0.930 1.439 to 1.442 -
Cod-liver oil Oily substance 0.917 to 0.930 1.477 to 1.484 -
Paraffin, light liquid Oily substance 0.810 to 0.875 - -
Paraffin, light liquid Oily substance 0.827 to 0.890 - -

Modern instrumentation: digital density meters

Digital density meters are important tools in pharmaceutical analysis, providing critical support in the accurate measurement of relative density. These instruments utilize advanced oscillating transducer technology to deliver precise density readings, which are vital for determining the compatibility and stability of pharmaceutical formulations.

This technology offers a robust solution for overcoming traditional measurement challenges such as air buoyancy and temperature fluctuations, ensuring that density measurements are both reliable and repeatable. The ability to accurately measure relative density is integral to pharmaceutical manufacturing, affecting everything from dosage accuracy to the physical stability of the final product.

As such, digital density meters are indispensable in ensuring that pharmaceutical products meet stringent regulatory requirements and maintain the highest standards of quality and efficacy.

Anton Paar solutions: DMA Density Meters

Anton Paar's DMA Density Meters are engineered to meet the stringent requirements of the pharmaceutical industry, ensuring accurate and reliable density measurements that are crucial for quality control. They incorporate over 50 years of expertise in precision measurement technologies.
The DMA series utilizes a patented Pulsed Excitation Method to enhance the U-tube oscillation technique. This technology enables the meters to deliver rapid and precise density measurements, which are essential for maintaining high throughput in laboratory environments. With results available in approximately 20 seconds, and with an exceptional degree of accuracy up to six digits, these meters facilitate efficient operational workflows.
Modularity is a key feature of the DMA benchtop series, allowing integration with other measurement modules, such as refractometers and polarimeters. This capability facilitates multiparameter analysis from the same sample under identical conditions, helping to streamline laboratory workflows and reduce the potential for errors.

Learn more in the following application report about how the measurement systems can be used to check whether a material fulfils the requirements of pharmacopeial monographs.

Compliance with regulatory standards

Anton Paar’s instruments support compliance with data integrity standards, including FDA 21 CFR Part 11, by adhering to ALCOA++ principles that ensure data accuracy, completeness, and consistency. Key features, such as audit trails, customizable user roles, and password policies, bolster security and simplify regulatory compliance. Additionally, the built-in limit settings enable automatic documentation of measurement specification violations, streamlining reporting and reducing error potential. 

A detailed overview of Anton Paar’s software features supporting lab operations in regulated industries while ensuring regulatory compliance is summarized here. When paired with AP Connect, measurement data can be centralized, digitally managed, and seamlessly transferred across systems while maintaining compliance, enhancing productivity and data security.

Anton Paar density meters not only meet regulatory standards and data integrity principles, but also offer comprehensive qualification support. Through the instrument qualification service, Anton Paar streamlines the qualification process (DQ, IQ, OQ, and PQ), ensuring compliance while saving customers significant time, effort, and costs. This service accelerates the implementation of instruments into production. Learn more here.

Besides, Anton Paar provides accurate, ISO/IEC 17025-accredited calibrations at its headquarters and subsidiaries. This ensures traceability to SI units, globally comparable results, and compliance with international standards.

FAQs

  • Why is relative density important in pharmaceuticals?

    Relative density is important in pharmaceuticals as it helps ensure the uniformity and stability of liquid formulations by preventing sedimentation or separation of ingredients. It also enables accurate dosing by linking the volume of liquid medicine to a consistent quantity of active ingredients. Additionally, relative density aids in selecting appropriate packaging and storage conditions for liquid products.
     
  • What instruments can be used according to Ph. Eur. for measuring relative density?

    The approved methods are:
    • Density bottle
    • Hydrostatic balance
    • Hydrometer
    • Oscillating transducer density meter
       
  • How does temperature affect relative density measurements?

    Temperature generally has an inverse effect on density. As temperature increases, density decreases, and vice versa. This relationship arises because changes in temperature often cause a substance to expand or contract, thus altering its volume while mass remains constant. One exception is water near its freezing point: between 0°C and 4°C, water actually becomes denser as it warms until it reaches maximum density at 4°C.
    The effect of temperature on density generally follows this pattern:
    Higher temperature → Increased volume, mass unchanged → Decreased density
    Lower temperature → Decreased volume, mass unchanged → Increased density