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Experiment 1: Optical Micrometry & Phase-Contrast Microscopy

Experiment 01Core Cytometry • B.Sc. / M.Sc.

Compound & Phase-Contrast Microscopy and Micrometry

↑ Index

๐ŸŽฏ Aim: To calibrate an ocular micrometer using a standardized stage micrometer under 10×, 40×, and 100× objectives, and determine the precise micrometric dimensions (length and width) of plant epidermal cells and human squamous epithelial cells.
๐Ÿ”ฌ Theoretical Principle & Optical Physics

Direct measurement of microscopic specimens requires optical micrometry because mechanical rules cannot be placed in the focal plane of an objective lens. An ocular micrometer (eyepiece graticule) is a circular glass disc engraved with an arbitrary ruled scale (typically 100 equidistant divisions of unknown physical distance). A stage micrometer is a precision glass slide featuring an etched 1.0 mm scale ruled into 100 equal divisions; therefore, exactly 1 stage division represents $10,mu ext{m}$ ($0.01, ext{mm}$).

Because the magnification power of the objective lens alters the real magnification of the specimen image projected onto the ocular diaphragm, the ocular micrometer must be individually calibrated for every objective lens. By superimposing the ocular and stage scales and identifying two points of exact coincidence, the calibration constant is computed:

ext{Calibration Factor } (mu ext{m / ocular division}) = rac{ ext{Number of Stage Micrometer Divisions} imes 10,mu ext{m}}{ ext{Number of Ocular Micrometer Divisions}}Example: If 10 stage divisions ($100,mu ext{m}$) coincide with 25 ocular divisions at 40×, then 1 ocular division $= 100 / 25 = 4.0,mu ext{m}$.

In Phase-Contrast Microscopy, transparent unpigmented living cells with minimal light absorption are visualized without destructive staining. Variations in cellular refractive index ($n$) and specimen thickness shift the phase of transmitted light by $pprox lambda/4$. An annular condenser diaphragm and a phase-shifting plate inside the objective retard or advance the direct light rays by an additional $lambda/4$, converting destructive/constructive phase shifts into intensity (amplitude) variations perceptible to the human eye.

Figure 1.1: Optical Micrometer Calibration & Phase-Contrast Optics

A. Superimposed Micrometer CalibrationStage Micrometer (0.01 mm = 10 μm / div)0510 div (100 μm)Coincidence 1 (0)Coincidence 2 (100 μm)Ocular Micrometer (Eyepiece Graticule)025 divCalibration Calculation at 40× Objective:10 Stage Divs = 10 × 10 μm = 100 μm25 Ocular Divs = 100 μm1 Ocular Div = 100 / 25 = 4.00 μmB. Phase-Contrast Optical Ray SystemAnnular Condenser RingLive Cell (n > nο)λ/4 Phase ShiftObjective Lens SystemPhase Shifting Plate (λ/4 Retarder)Image Plane: High-Contrast Amplitude ImageDestructive Interference Converts Phase into Bright/Dark Contrast

๐Ÿงช Reagents, Materials & Equipment
Reagents & Biological Samples
  • Fresh red onion bulb (Allium cepa)
  • Human cheek epithelial swab in 0.9% physiological saline
  • 0.1% Methylene blue aqueous solution
  • Glycerol mounting medium (50% v/v in distilled water)
  • Distilled water & lens cleaning fluid (isopropanol/ether 7:3)
Instruments & Optics
  • Compound binocular research microscope (10×, 40×, 100× oil)
  • Ocular micrometer disc (10× eyepiece insertion)
  • Calibrated stage micrometer (1 mm ruled into 100 units = $10,mu ext{m}$/div)
  • Fine dissection forceps, sterile cotton swabs, coverslips ($18 imes 18, ext{mm}$)
๐Ÿ“‹ Step-by-Step Experimental Protocol
  1. Ocular Reticle Insertion: Unscrew the 10× ocular lens, unscrew the field stop diaphragm, insert the ocular micrometer disc with the ruled scale facing downwards, and reassemble the eyepiece.
  2. Stage Micrometer Alignment: Place the stage micrometer slide securely onto the mechanical stage. Focus the etched scale using low power (10× objective).
  3. Superimposition of Scales: Rotate the ocular lens until the ocular micrometer scale lies exactly parallel to and superimposed over the stage micrometer scale. Align the zero (0) line of both scales precisely.
  4. Coincidence Determination: Scan along the superimposed scales to identify a second point where a line of the ocular micrometer perfectly coincides with a line of the stage micrometer. Note both readings.
  5. High-Power Calibration: Switch to the high-power (40×) objective, refocus using the fine adjustment knob only, and repeat the zero-alignment and coincidence determination. Calculate calibration factors for both 10× and 40×.
  6. Specimen Mounting: Peel a transparent monocellular epidermal layer from the concave scale leaf of Allium cepa. Mount on a clean slide in a drop of water/saline, stain with 0.1% methylene blue for 2 minutes, wash excess stain, mount under coverslip in 50% glycerol.
  7. Cell Dimension Measurement: Replace stage micrometer with the specimen slide. Align the ocular scale across 10 randomly selected epidermal cells. Record length and width in ocular units, then convert to microns ($mu ext{m}$).
๐Ÿ“Š Observations, Calculations & Calibration Matrix
Objective LensCoincident Stage Divs (a)Actual Length ($a imes 10,mu ext{m}$)Coincident Ocular Divs (b)Calibration Factor ($mu ext{m}$/div)
Low Power (10×)10 divisions$100,mu ext{m}$10 divisions$10.0,mu ext{m}$
High Power (40×)6 divisions$60,mu ext{m}$24 divisions$2.5,mu ext{m}$
Oil Immersion (100×)4 divisions$40,mu ext{m}$40 divisions$1.0,mu ext{m}$
โš ๏ธ Practical Precautions & Artifact Avoidance
  • Never use coarse adjustment when focusing under 40× or 100× to prevent crushing the expensive stage micrometer slide.
  • Recalibrate the ocular micrometer whenever an objective lens, tube length, or microscope frame is changed.
  • Ensure air bubbles are eliminated beneath the coverslip by lowering it at a 45° angle with a dissection needle.

๐Ÿ’ฌ Viva-Voce Questions & Model Answers

Q1: Why cannot an ocular micrometer be used directly without a stage micrometer?
The ocular micrometer sits in the focal plane of the ocular lens and has an arbitrary etched scale. Because different objective lenses magnify the specimen by different factors before projecting it onto the eyepiece diaphragm, 1 ocular division corresponds to different physical distances under different objectives. The stage micrometer provides the certified physical standard ($10,mu ext{m}$/div) to calibrate it.
Q2: What is the optical physical principle underlying Phase-Contrast Microscopy?
Phase-contrast microscopy exploits the small phase shifts ($lambda/4$) caused by variations in cellular refractive index ($n$). An annular diaphragm and phase plate introduce an additional $pm lambda/4$ shift to background light, causing destructive interference with diffracted light. This converts phase shifts into amplitude (intensity) variations perceptible to the human eye.
Q3: What is the numerical aperture (NA) of a lens and how does it relate to limit of resolution?
Numerical Aperture ($NA = n cdot sin lpha$) measures light-gathering capacity, where $n$ is the refractive index of the medium and $lpha$ is the half-angle of the maximum light cone. According to Abbe’s equation ($d = 0.61 lambda / NA$), higher NA decreases the minimum resolvable distance $d$, thereby increasing optical resolution.
๐Ÿ“– Key Terms & Comprehensive Glossary

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