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PLNT 3140 Introductory Cytogenetics - 2023

Introduction to the Microscope

Learning Objectives

The principle of a microscope can be sumarised as follows:

1. Light is focused to a specific focal plane in the sample, resulting in an image.
2. The image is magnified such that a focused image is projected to a focal plane at the observer's eye.

The microscope is the most important tool of the cytologist

The compound microscope allows the observer to see greater detail in small objects by magnifying and resolving the image. Although chromosomes cannot be seen by the naked eye, even a relatively low-power compound microscope will allow a scientist to resolve individual chromosomes in the eukaryotic cell.

Each of the parts of the microscope either contributes to the creation or magnification of the image.

A compound microscope combines two or more lenses to further focus and magnify the image. Lens magnifications are straightforward, with a 10X lens creating an image 10X the original object's diameter. A typical compound microscope has an eyepiece lens (usually 10X) and three objective lenses (usually 10X, 40X, and 100X). The total magnification is a simple multiplication of the two lenses, and so a typical compound microscope can achieve from 100X to 1000X magnification.

As an additional note: Lens magnification is based on standard microscope sizes, including the size of the tube the lenses are installed in. If this standard size is changed, so will the magnification.

Part Function
Base Contains illumination source
Luminous field iris diaphragm Controls amount of light illuminating the sample
Fine and coarse adjustment knobs Makes minute adjustments to the height of the stage, allowing the sample to be brought into focus
Swing out lens Holds filters and auxiliary lens
Condenser centering knob Controls the position of the condenser
Condenser Focuses light to control the area of the sample that is illuminated
Iris lever Controls the condenser or aperture diaphragm
Stage adjustments Makes minute adjustments to the position of the stage at a set height, allowing different areas of the sample to be viewed
Stage Platform for the sample
Objective lenses Magnify the sample from the stage to the eyepiece lens
Revolving nosepiece Allows interchange between three different objective lenses
Tube Allows installation of eyepiece lens
(Tubes have a standard length of 160mm)
Eyepiece Allows for further magnification of the image by the eyepiece lens

The eyepiece actually has two functions: to magnify and correct. The need for correction comes from the different colours of light that are refracted. If the eyepiece is over-corrected or under-corrected, the different colours of light will not be balanced and the resulting image will show up as coloured.

The microscope makes use of six simple lenses in combination

Magnification in the compound microscope is achieved by the use of simple lenses. There are two broad categories of simple lenses: positive lenses, which are thicker in the middle (convex), cause light to converge. Negative lenses are thinner in the middle (concave) and cause light to diverge.

These broad categories contain three lenses each, to make the six simple lenses. Positive lenses are biconvex, planoconvex, and convex (converging) meniscus, while negative lenses are biconcave, planoconcave, and concave (diverging) meniscus.

The Six Simple Lenses.  The biconvex, plano-convex and convex (converging) meniscus are positive lenses. The biconcave, plano-concave and concave (diverging) meniscus are negative lenses.

positive lenses are thicker in the middle and therefore capable of converging light to a focus. These are termed biconvex, plano-convex, and convex (converging) meniscus.

negative lenses are thinner in the middle so that rays of light passing through them are made divergent termed biconcave, plano-concave, concave (diverging) meniscus

The most important part of the microscope are the objective lenses. These different lenses allow the viewer to see the specimen at different magnifications and easily switch between the lenses with the revolving nosepiece. The objective lenses in modern compound microscopes are also parfocal, which means that switching from a lower to a higher magnification lens keeps the image roughly in focus. While the fine focus knob may be needed for adjustment, the image stays in view when switching lenses.

We have discussed the objective and eyepiece lenses, but another part of the microscope has lenses also: the condenser. Unlike the objective and eyepiece lenses, which serve to magnify the image to the viewer, the lenses in the condenser are there to focus the light on the sample. This is accomplished by combining several simple lenses together. The combinations of lenses used in the condenser can vary, from something like this:

...to something like this:

Or even this:

Can you name the types of simple lenses used in these examples?

The effect that the simple lenses has on the light is fundamental to the production of a useful image. Without a condenser, the microscope would be a magnifying glass with no resolving power of its own. The student microscopes are fitted with Abbe (chromatic) condensers. They are simply constructed and transmit a large amount of light.

The microscope's resolving power depends on numerical aperture of the lens

Earlier on, we said that the microscope is able to magnify and resolve an image, to allow the viewer to see tiny details in the sample. The lenses accomplish the magnification of the image, but the resolution is more complex. Many factors influence the highest resolution a microscope can achieve, such as:

All these factors determine the resolving power, or the minimum separation of two objects such that they appear distinct and separate when viewed through a microscope or telescope. The numerical aperture (NA) is a measure of the resolving power of the objective lens only. The upper limit of resolving power, of an objective lens or the whole microscope, ultimately depends on the wavelength of light used.

Why can't we just magnify the image?

The image we see through the eyepiece is the aerial image formed by the microscope objective in the tube. This image has a limit, where useful magnification ends and the empty magnification begins. There is a good parallel with the grain of a photographic film. As soon as the image details reach the same size as the image grain, no further detail can be gained by magnifying the image. In the same way, as you move closer and closer to the photographic image on a projector screen, you reach the point where you can no longer see the actual details on the photograph. The performance limit of the microscope is determined by the NA, so that the total magnification of the microscope is the objective magnification multiplied by the eyepiece magnification  times NA.

NA is calculated using a mathematical formula devised by Ernst Abbe for the direct comparison of the resolving power of dry and all types of immersion objectives.

NA =  n sin( µ)

where

n ::= the refractive index of the medium between the front lens of the objective and the cover slip.
When a ray of light passes from a rare medium (air) to a denser medium (oil) it is bent and refracted. Air has a refractive index of 1; immersion oil has a refractive index of 1.5.
µ ::=  the aperture angle defined by the optical axis and the outermost rays still covered by the objective


Thus, the numerical aperture is the sine of half the angular aperture of an objective lens.

Comparison of dry and oil immersion objectives. The values for NA range from 0.1 to 0.95 for dry objectives and up to 1.5 for oil immersion lenses. Air has a refractive index of 1. So for air, the image scatters beyond the aperture angle.  Immersion oil fills the space between the cover glass and the front lens of the microscope has a refractive index of 1.5. Oil keeps the image within the aperture angle of the objective lens.

Angular Apertures of Objectives Compared. The 3x objective is at a longer focal length, taking in a larger area at a smaller angle. The 95x objective is at a shorter focal length, taking in a smaller area in a larger angle.

 

Overall, while we would like to be able to zoom in forever and see all the tiny parts of the cell, we are limited by the wavelength of visible light. Improving the NA of the objective lenses lies in two factors, the NA of the objective lens itself, and the refractive index of the medium between the sample and the objective lens.

Summary

The microscope is the fundamental tool of the cytologist. In order to use it effectively, you need to understand key concepts, like: