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Selected MRS-4 Patterns
Details of Traceability

MRS-4 pitch pattern calibration

Fig. 1
50µm pitch pattern. The overall width is 1mm. Measure magnification using multiple pitches totaling 0.950mm, as above.

MRS-4 Magnification Calibration

Fig. 2
1µm pitch pattern. 16 of these patterns are located at the outside of the 1mm box.

SEM Magnification Calibration

Fig. 3
2µm pitch pattern. 3 sets of this pattern (with one in the exact center) can be seen in Fig. 1.

MRS-4 Magnificaiton Calibration Reference Standard

Fig. 4
1/2µm pitch pattern. Overall size is 40µm. 4 of these patterns are located in the southeast corner of the 3mm box.

SEM Calibration Reference Standard

Fig. 5
1/2µm pitch pattern. Edge variation is approximately 20nm.

Circle Pattern MRS-4 Calibration

Fig. 6
Circle pattern from 2 to 100µm. 4 sets are included.

Rectangle Pattern MRS-4 SEM Calibration

Fig. 7
Rectangles w/squares on the NW-SE diagonal. This pattern has 70 - 120µm in 10µm increments.

MRS-4 Calibration Specimen

Fig. 8
Rectangles w/squares on the NW-SE diagonal. This pattern has 30 - 75µm in 5µm increments. Also included are rectangles from 1–31µm in 1µm increments.

Magnificaton Micrometer Ruler for SEM

X axis: 30mm/0.03mm= 1000x
Y axis: 24mm/0.025mm= 960x

Fig. 9
The “ruler” has 1µm increments over a 6mm distance in both X and Y axes. This pitch pattern can be used at any magnification.


SEM Magnification Calibration and Stage Micrometer MRS-4

Details of Traceability to NIST, NPL or ISO 9000 Compliance

Magnification Calculations
The fundamental magnification (M) calculation involves dividing a chosen image (I) dimension by its corresponding object (O) dimension, where M = I/O
The standard must be perpendicular to the exciting beam to prevent image foreshortening. If an SEM image containing 5 cycles of the 2µm pitch pattern (10µm) is represented over a 90mm distance on the SEM CRT, by a vernier, or on film, the magnification would be (90/0.01) 9,000X. If the indicated magnification were 10,000X, the error would be –10%.

Linearity Measurements
Imaging distortion is characteristic of all types of imaging systems. It appears as a barreling, pincushion and skew, and is generally measured as a percentage deviation from linearity (using the straight edge of the MRS-3 or MRS-4, a 1% distortion would be a 1mm deviation in the straightness of a 100mm line).

Tilt Angle Determination
For SEM’s, the MRS-3/MRS-4 should be normal to the electron beam (0º tilt). Both the X and Y magnifications should be equal. If the specimen is then tilted about the X-axis the magnification will decrease along the Y-axis (due to foreshortening) by the cosine of the tilt angle. For example, if the (100µm)2 boxes measure 100µm in the X-axis and 50µm in the Y-axis, the tilt angle would be:
Tilt angle = cos-1 (50/100) = 60º

A CRM (certified reference material) guarantees dimensions. Most commercially available standards have unknown precision. Grids and spheres may change size under vacuum or are distorted. MRS-4 and MRS-3 are offered with or without traceability. The non-traceable standard differs only in documentation and cost. Traceability in the X and Y dimensions is established from "masters" that have been measured by NPL (National Physics Laboratory), the NIST counterpart in the U.K. The "Z" dimension (100nm) has been established on MRS "masters" by NIST.

Recertification Program
Annual recertification is required. This practice is common with devices such as gage blocks and electronic instruments. Over years, it has been found that several standards could not be recertified due to physical damage and excessive contamination. Physical damage is most often caused by optical microscope objectives being drawn across the pattern surface, or abuse. It is possible that electron beam damage and corrosion from storage in a hostile environment will require service and recertification, which will insure that your standard will perform its proper task. Consult your Quality Department for advice. They are most familiar with the company’s quality requirements as it relates to ISO-9000, QS9000 or ISO-Guide 25 or 17025.

Operating Parameters
Optical microscopes can use the MRS-4 in all imaging modes. The anti-reflective coating greatly reduces scattered light enabling high contrast images to be observed and photographed. Magnifications can be measured directly by viewing CRTs, in reticles mounted within the ocular, or directly on photomicrographs. For instruments with verniers or electronic calipers, distance measurements can be verified using a pitch pattern of appropriate size. If the application primarily consists of optical microscopy, we suggest ordering the MRS-4 without the conductive coating since it reduces the reflected optical contrast in the image.

ASTM E766-98: Standard practice for calibrating the magnification of a Scanning Electron Microscope
The American Society for Testing and Materials has published this standard. The copyrighted text is available from ASTM. A convenient way of obtaining E766-98 (or a later version) is online from the ASTM web site at This excellent standard offers terms, definitions and guidance to calibrate your instrument’s magnification. Using the standard, you would be able to calibrate to better than 5% precision in the magnification range from 10X to 50,000X. With the one-half micrometer, "1/2µm" pitch, it is reasonable to extend the range to 200,000 using the MRS-4 since there was no such standard when it was updated in 1998.

E1951-98 Standard Guide for Calibrating Reticles and Light Microscope Magnifications
This guide covers methods for calculating and calibrating light microscope magnifications, photographic magnifications, video monitor magnifications, grain size comparison reticles, and other measuring reticles. Reflected light microscopes are used to characterize material microstructures. Many materials engineering decisions may be based on qualitative and quantitative analyses of a microstructure. It is essential that microscope magnifications and reticle dimensions be accurate.
The calibration using these methods is only as precise as the measuring devices used. It is recommended that the stage micrometer or scale used in the calibration should be traceable to the National Institute of Standards and Technology (NIST) or a similar organization.
Measurements are made by a special SEM where each individual pattern is measured. Other CRM’s may calibrate using optical diffraction. This technique averages over large patterned areas, it does not measure individual "pitches" – like your microscope.

Test Method: (in compliance with ISO/IEC-17025)
All measurements are performed in vacuum with a modified scanning electron microprobe. The 500µm, 50µm, 2µm pitch measurements are made between the horizontal and vertical tracks through the center of the device. For the MRS-4 the 1µm and ½µm pitch measurements are made through the center of the northwest patterns. For the 500μm through 1μm pitch patterns the measurements start at the inside edge of the left most bar (left column) and the left side of the first bar to the right of center (right column) of the center pattern. The vertical measurements are made the same way starting at the top pattern. For the ½μm pattern twenty measurements are made on the left side and top side of center, starting with the inside of the first bar. Measurements are made through direct comparison with a MRS that has been calibrated against a similar device measured by the National Physical Laboratory (NIST counterpart in the U.K.) thereby establishing an unbroken link of traceability. Each measurement is reported as a "pitch" value, which is the sum of an adjacent bar and space (edge-to-edge) on the pattern. Optional Z-axis measurements (step height) are provided by referencing the measured value against a NIST measured MRS using a Dektak 3030 stylus profilometer. The X & Y data was measured in vacuum while Z measurements are performed in air. For usage: 25°C ±10°C, humidity <90%. Expanded uncertainties are reported with a coverage factor of k=2.