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2. mathematics
3. geometry

Image Analysis Sample Submission Form
Microtrac Particle Analysis Laboratory
12501 62nd Street North, Largo, FL 33773
Please complete this form and include with sample and MSDS. Payment method must be included. Provide hard copy if using PO. PAYMENT INFORMATION AND PURCHASING CONTACT
PRIMARY CUSTOMER CONTACT INFORMATION Not Required if Samples are submitted for Instrument Purchase Evaluation
Company
Company
Contact Name
Contact Name
Shipping
Address
Mailing or Billing
Address
City, State, ZIP
City, State, ZIP
Phone Number
Email Address
Email Address
Phone Number
FAX Number
PO# or Credit Card # and
Type (AMEX, etc)
Credit Card Expiration Date Signature Sales Rep: Samples submitted for evaluation of instrument purchase: Up to three samples no charge. Security Code Sales Rep Company: Type of Service
Charge
10 Business Day
List Price
3 – 5 Business Day
List + 30%
24 Hour
List + 75%
Same Day
List + 100%
Sample Return Information $50 minimum charge if no Shipping Account Number provided for Return Please Return Sample
Hold Sample 90 Days
Discard Sample
Shipping Account Number and
Carrier
If shipping account number is not available, charges will be assessed to cover
additional costs of handling and shipping.
Special data are required for fluid measurements (SIA) as shown below. Dry powder measurements do not require this information.
Comments can be entered on the next page.
Expected
For SIA
For SIA
For SIA
Analysis
Material Type
Enter Your Sample ID
Size Range
fluid only
fluid only.
fluid only.
SIA Fluid
Code
Please use another
(μm or
If mixed
Can
Treat with
Measure
from
sheet if more than 3
Microtrac Will Enter Lab
mm) and
with fluid,
sample be
Ultrasonic
with S3500
Price
samples are being
Tracking # in
Dry or
what is
mixed with
for full
Diffraction
List
submitted
Blue Box Below
Fluid
fluid?
water?
dispersion
Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Select 5 notations from the list below. See next page for definitions. Please comment on use and purpose of the data on next page. □ Area
□ DP - Perim.Equiv. Diam
□ MaxDis
□ Aspect Ratio
□ Solidity
□ Perimeter
□ Length
□ MinDis
□ Feret Aspect ratio
□ Concavity
□ Volume
□ Width
□ Sphericity
□ Compactness
Data presentation units:
Choose one
□ Centroid
□ ConHulP
□ Circularity
□ Extent
□ DA - Area Equiv. Diam.
□ ConHulA
□ Roundness
□ Convexity
□ μm □ mm □ Mesh
Amount of Material – For SIA fluid measurements, volume amount of solid or slurry: 25mL to allow for proper determination of sample
preparation. Mass (weight) may be used if a powder. Density X 25mL = weight. For dry powder measurements 500mL to 1 liter .
Microtrac will complete the following Date Rec’d File Number Lab ID Log‐in by: Contacts: Toni Weigel, Phone 727-507-9770 Ext 14 ( Toni.Weigel@MIcrotrac.com ) or Amelia Cullen Ext 20 ( Amelia.Cullen@Microtrac.com ).
SF‐LA‐IA Rev B August 2013 Image Analysis Sample Submission Form
Microtrac Particle Analysis Laboratory
12501 62nd Street North, Largo, FL 33773
Please add any comments below (SOP#, special preparation, etc.) for the Microtrac analyst.
Material Type
Enter Your Sample ID
Please use another
sheet if more than 3
samples are being
submitted
Microtrac Will Enter Lab
Tracking # in
Blue Box Below
Analysis
Code
from
Price
List
For SIA
If mixed
with fluid,
what is
fluid
Expected
Size or
Range
For SIA
Can
sample be
mixed with
water
For SIA
fluid only.
Treat with
Ultrasonic
for full
dispersion
SIA Fluid
Measure
with S3500
Diffraction
Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Yes
Yes
Yes
No No No Data will be presented as linear scale (μm or mm) and volume percent unless otherwise requested. Provide sieve sizes desired if mesh size is desirable. Customer Comments: ___________________________________________________________________________________________
______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
The information below is offered to assist in the selection of five (5) notations on the previous page. General Considerations  Circle category: Indicates of how closely the particle is shaped like a circle. Values termed Sphericity, Circularity, Roundness, and
Compactness, have a scale of 0 to 1.0, where 1.0 represents a perfect circle. A change in circle shape factors is a function of either a change in
form, or roughness, or both. Roundness and Compactness are the least used
 Form category: Indicates how the shape diverges from a circle in overall form. This category includes Aspect Ratio and Max. Aspect Ratio.
The values range over scale of 0 to 1.0 where 1.0 represents equal Width and Length (a circle or square).
 Roughness category: Indicates how the shape diverges from a smooth surface, regardless of form. The terms include Convexity, Solidity, and
Concavity. The values for convexity and solidity are on a scale of 0 to 1.0, where 1.0 indicates a smooth surface with no concave indentations.
The third, Concavity, also has a scale of 0 to 1.0, where 1.0 indicates a very “spikey” surface, with many and pronounced concave indentations.
 Geometry category: Value is termed Extent. Indicates relative conformity to a specific geometric shape. On a scale of 0 to 1.0, 1.0 would
represent a perfectly rectangular particle. Useful in applications measuring crystals, where the perfect crystal has a distinct geometric shape.
SF‐LA‐IA Rev B August 2013 Image Analysis Sample Submission Form
Microtrac Particle Analysis Laboratory
12501 62nd Street North, Largo, FL 33773
General Definitions for Size Parameters: Describes the calculation of length, area, perimeter and volume of measured particles.
Notation
Description, units
Definition
2
Area (A)
Area, µ
Perimeter (P)
Perimeter, µ
Perimeter of the particle projected image
Volume (V)
Volume, µ3
Volume of rotated equivalent area circle.
Centroid
Centroid, x,y point on image
The point of the center of mass (gravity) of the image. The point on the
image where it could be balanced on the tip of a pin.
DA
Area Equivalent Diameter, µ
Diameter of a circle equal in area to that of the particle image.
DP
Perimeter Equivalent Diameter,µ
Length (L)
Length, µ
Distance of major axis of Legendre ellipse, shown overlaying the particle in
the left diagram.
Width (W)
Width, µ
Distance of minor axis of Legendre ellipse.
ConHulP
Convex Hull Perimeter, µ
ConHulA
Convex Hull Area, µ2
MaxDis
Particle Maximum Distance, µ (MD)
MinDis
Area of the particle projected image
Diameter of a circle equal in perimeter to that of the particle image.
Length of imaginary elastic band around the particle image
Area within the convex hull.
Maximum Feret Diameter The maximum distance between any pair of
pixels on the perimeter of the particle image.
Particle Minimum Distance, µ (PMD)
Minimum Feret Diameter The minimum distance between any pair of
pixels on the perimeter of the particle image.
Shape Parameters: Uses values from above to provide special calculations to assist defining shape characteristics.
Sphericity
Sphericity
Circularity
Circularity
Roundness
Roundness
Aspect Ratio
Aspect Ratio – (also Ellipse Ratio)
Feret Aspect
Ratio
Maximum Aspect Ratio
Compactness
Compactness
Extent
Extent
Convexity
Convexity
Solidity
Solidity
Concavity
Concavity
SF‐LA‐IA Rev B Measure of the proximity to a circle Values range 0 to 1(value of 1 equals a
perfect circle)
Measure of proximity to a circle. More sensitive, less robust, than Sphericity
Range of values 0 to 1 (value of 1 equals a perfect circle)
Measure of proximity to circle, 0 to 1 (circle), sensitive to elongated
deviations from a circle
Measure of overall form. As it decreases, measures of circularity decrease.
Ratio of Width to Length, 0 to 1 (square or circle).
Measure of overall form. Ratio of Particle Minimum Distance (PMD) to the
Particle Maximum Distance (MD). Range of values is 0 to 1 (square or
circle)
Less sensitive but more robust, than Roundness . Values 0 to 1 (circle).
Value of 1 describes the degree to which the actual area takes up maximum
possible area based on product of the two largest perpendicular dimensions.
Measure of surface roughness, 0 to 1 (smooth). As roughness increases,
measures of circularity decrease.
Measure of surface roughness, 0 to 1. Value of 1 describes very smooth
surface. Ratio of area of the particle to the area of the convex hull.
Measure of surface roughness, 0 to 1. In this case, a value of 1 describes an
extremely rough, spikey surface
August 2013