[0001] This invention relates to a method for determining proper modified or unmodified
atmosphere packaging for cut or uncut respiring perishables such as cauliflower, lettuce
and broccoli.
[0002] The methods of this invention comprise the following steps:
(1) determining the respiration rate (R) of a respiring perishable such as cauliflower,
broccoli or lettuce;
(2) preparing a plurality of packages containing the respiring perishable with each
package having a different permeant factor (G), where the permanent factor (G) is
equal to: the area (A) of packaging material, e.g., a film, required to enclose a
given weight of the respiring perishable in a modified or unmodified atmosphere, multiplied
by the permeability (P) of the packaging material to one of the gases of respiration,
such as oxygen or carbon dioxide, and divided by the weight (W) of the perishable
to be enclosed in the packaging material;
(3) for each of the packages prepared in step (2) above, determining a value called
atmosphere quotient (AQ) in accordance with the following formula: Atmosphere quotient
(AQ) equals permeant factor (G), from step (2) above, divided by the respiration rate
(R) of the perishable from step (1) above;
(4) subjecting each of the packages containing respiring perishable to known temperatures
and pressures over a known, preferably predetermined period of time, and correlating
the subjective and objective indicia of quality, appearance and marketability of the
respiring perishable from each of the packages to the atmosphere quotient values determined
in step (3) above; and
(5) varying one or more of the values of the components (A), (P) and/or (W) of permeant
factor (G) to achieve and maintain the optimum value or range of values for atmosphere
quotient determined in step (4) above. Once atmosphere quotient has been determined
by these methods, the values of the components (A), (P) and/or (W) that correspond
to the optimum atmosphere quotient value or values can be further varied as desired.
[0003] In preferred embodiments, the methods of this invention may also include the step
of determining the oxygen and carbon dioxide quotients independent of one another
so that the ratio of carbon dioxide-to-oxygen permeabilities for a given package of
a perishable can be optimized. The ratio of carbon dioxide-to-oxygen permeabilities
for a given package of a given perishable directly influences the equilibrium ratio
of carbon dioxide-to-oxygen concentrations inside the package. At equilibrium, the
amount of oxygen permeating into the package is substantially equal to the oxygen
consumed by the perishable inside the package, and the amount of carbon dioxide permeating
out of the package is substantially equal to the carbon dioxide produced inside the
package. Thus, once an optimum carbon dioxide or oxygen quotient is determined as
in step (4) above with a packaging material of a given carbon dioxide-to-oxygen permeability
ratio, then changing to a material of different carbon dioxide-to-oxygen permeability
ratio may require a new atmosphere quotient determination.
[0004] An atmosphere quotient value determined in accordance with these methods can differ,
for a given respiring perishable in a given packaging material, with the initial void
volume per unit weight of perishable within the package, the equilibrium void volume
per unit weight of perishable within the package, or both. Accordingly, the new methods
also require redetermining atmosphere quotient values if the initial or the equilibrium
void volume within a given package changes.
[0005] In preferred embodiments, the permeability of the packaging film is measured in cubic
centimeters of gas such as oxygen or carbon dioxide transmitted through 100 square
inches of packaging for 24 hours at 72° F., and less than 50% relative humidity (RH).
The area of film is preferably measured in 100 square inches, and the weight of packaged
perishable in grams, kilograms or pounds.
[0006] In preferred embodiments, the method for determining the respiration rate of a perishable
product such as cauliflower comprises the following steps:
(1) placing duplicate, equal-weight samples of the perishable in dessicators that
have been cooled to a known temperature above the freezing point of water and below
50°F., say 45°F.;
(2) sealing the dessicators, and connecting each dessicator to a continuous, controlled
stream of filtered, humidified air, flowing at a nominal rate of about 40 milliliters
per minute;
(3) maintaining the flow of filtered, saturated air to the dessicators for 24 hours
while maintaining the dessicators at 45°F., and then collecting a small sample, say
10 milliliters, of the gases flowing from the dessicators;
(4) measuring the percent by volume of carbon dioxide or of oxygen in the gas flowing
from the dessicators using gas chromatography precalibrated as necessary, or another
analytical method;
(5) measuring the actual rate of air flow to the dessicators using, for example, the
graduated cylinder/volume displacement method; and
(6) repeating these same steps (2)-(6) after another 24 hours of storage 45°F., with
gas flow to the dessicators maintained at a known flow rate, for example, 40 milliliters
per minute. The respiration rate of the perishable in milligrams of carbon dioxide
per kilogram-hours can then be calculated in accordance with the following formula:
milligrams of carbon dioxide per kilogram-hour is equal to the volume of carbon dioxide
in the gas outflow from a dessicator, measured in milliliters per minute, multipled
by 60 minutes, divided by the sample weight of the perishable in a dessicator, measured
in kilograms, and multipled by the factor 1.964 milligrams, where the factor 1.964
milligrams equals the gram weight of one milliliter of carbon dioxide, or

The product respiration rates at the end of 24 hours and at the end of 48 hours are
preferably averaged to determine the respiration rate of the perishable.
[0007] In preferred embodiments, the method for determining film permeability comprises
the following steps:
(1) placing an 8 inch diameter sample of the packaging film, free of manufacturing
defects and mechanical abrasions, between two 7-inch, 550 milliliter containers that
are sealed to prevent inflow or outflow of gas, as by use of an O-ring and clamp;
(2) directing a flow of gas whose film permeability is to be tested, such as oxygen
or carbon dioxide, into one of the two containers, through inlet and outlet valves,
at a predetermined rate, say one liter per minute, while flushing the other container
with nitrogen;
(3) maintaining gas flow to each container as in step (2) until one container contains
99% or more of the gas whose film permeability is to be tested, namely oxygen or carbon
dioxide, and the other container contains 0.02% or less of the test gas;
(4) shutting off the valves and recording the time and temperature;
(5) waiting until sufficient test gas has diffused through the film into the second
chamber to raise the concentration of the test gas in the second chamber to a value
in the range of 1.5% to 2.5% by volume;
(6) extracting a small, say 10 milliliter gas sample from the second chamber and measuring
the percentage of test gas in the sample as, for example, by gas chromatography, and
recording the time and temperature of sample collection; and
(7) calculating the gas transmission rate in terms of volume of gas diffusing through
the film per unit area of the film within a specific time interval in accordance with
the following formula: permeability equals volume of the second container multiplied
by the area of the film and by the percentage of test gas found in the second container
minus the amount of test gas in the second container before diffusion began and divided
by the diffusion time and by the factor 100. The permeability so determined is expressed
in units of cubic centimeters of gas per 100 square inches of film diffusing through
it over a 24-hour period at 72°F. In mathematical terms, the formula is as follows:

[0008] In preferred embodiments, the permeant factor can be adjusted or varied by changing
film permeability, i.e., film thickness or film composition. The package dimensions
can be varied by increasing or decreasing the surface area of packaging. The package
weight can be varied by simply increasing or decreasing the weight of perishable enclosed
within a given package.
[0009] In preferred embodiments, atmosphere quotient as a measure of marketability of a
perishable is determined by assigning arbitrary atmosphere quotient values to a plurality
of packaged samples of the perishable. Each package should be made of the same packaging
material, have the same package area, the same internal void volume per unit weight
of perishable in the package, and the same packaging material permeability. To achieve
the assigned quotient values, such packages can have differing, known weights of perishable
enclosed in them. Finally, the effect of such variations in atmosphere quotient upon
marketability of the perishable are determined. In such determinations, flexible packaging
material is preferably used, with the permeability and surface area of the package
held constant, to facilitate maintaining the internal void volume per unit weight
packaged substantially the same for all samples.
[0010] Marketability can be evaluated by storing each of the packaged perishable samples
at a given temperature, say, 45°F., for a period of time, say 20 days or more, but
preferably not more than about 10 or 15 days, followed by subjective evaluations of
each sample for freshness of appearance, taste and/or other sensory attributes indicative
of marketability. Objective indices of marketability are derived from analyses of
such variables as microbiological content, pigmentation, carbohydrate content, and
fermentation products such as ethanol and acetaldehyde. In this way, a first series
of atmosphere quotient values that correlate with subjective and objective marketability
indices of the perishable can be developed. For nearly all respiring perishables,
the correlation between atmosphere quotient and marketability is curvilinear. Below
and above the optimum values on this curve, marketability of the perishable declines.
For each of the subjective and objective indicia, linear correlations, either positive
or negative, with the atmosphere quotient values can be observed and plotted.
[0011] Thereafter, further series of such correlations can be obtained by varying the permeability
of the packaging film while holding all other variables the same, or by varying the
area of the package while holding all other variables the same. From these series
of tests, a range of atmosphere quotients that correlate most closely with marketability
of the perishable can be developed.
[0012] Thereafter, the range of atmosphere quotient values so developed can be used to determine
the corresponding range of permeant factor values in accordance with the formula Q
equals G divided by R, where Q is atmosphere quotient, G is permeant factor, and R
is the respiration rate of the perishable. Utilizing the range of permeant factors
so determined, the area of the package, the permeability of the packaging film, and
the weight of perishable packaged can be optimized by appropriate adjustments of one
or more of these variables in accordance with the following formula: G equals AP divided
by W, where G equals permeant factor; A is the area of the packaging film, preferably
measured in 100 square inches; P is the permeability of the packaging film per 100
square inches of film; and W is the weight, measured in pounds, of perishable enclosed
in the package.
[0013] Permeant factor should be adjusted to accommodate varying respiration rates between
two or more batches of respiring perishable of the same kind to maintain the atmosphere
quotient within the optimum range. Because respiration rate can vary widely from one
batch of a given respiring perishable to another batch, the respiration rate should
be measured for each new batch of perishable of the same kind. Batches can vary from
one another in variety, source, maturity, or some combination of these. Moreover,
the initial and the equilibrium void volume in each package per unit weight of perishable
should be substantially the same regardless of package size and regardless of the
weight of perishable within the package.
[0014] Where the nature of the packaging material precludes maintaining the initial or the
equilibrium void volume per unit weight of perishable within each package substantially
the same as the values determined without taking account of changes in these values,
atmosphere quotient may need to be redetermined with each change in these values.
These void volume problems arise most often with rigid packaging material. For example,
as equilibrium void volume inside a rigid package increases, the quantity of oxygen
and/or carbon dioxide enclosed in the package should also increase, and vice-versa.
One way of obtaining this result is by varying the permeability of the packaging material.
With flexible or rigid packages, the initial void volume in a package per unit weight
of perishable can be held constant by adjusting the area of material in the package.
[0015] After determining the atmosphere quotient for a given perishable in a given package,
and after redetermining atmosphere quotient, as necessary, to allow for changes in
initial and equilibrium void volume, the benefits of atmosphere modification can be
more easily determined. Where the initial void volume in a package is small, it may
be necessary to add oxygen to the package before sealing to attain the desired initial
oxygen concentration. Further, where the initial void volume in the package contains
a gas other than air alone, allowances must be made for changes in internal void
space resulting from respiration of the perishable in the package and from permeability
of the packaging material. For example, most flexible packages will become smaller
in direct proportion to the initial oxygen concentration in the initial void volume
where a perishable inside the package consumes oxygen faster than oxygen enters the
package by permeability or otherwise.
[0016] Thus, increases in initial oxygen concentration in flexible packages will cause decreases
in equilibrium void space, and vice-versa.
EXAMPLE 1
[0017] Following the methods disclosed above, and using carbon dioxide to measure respiration
rate, we determined that the optimum range of oxygen quotients for cauliflower was
19 to 38 where the initial void space in each cauliflower package was filled with
800 milliliters of air per pound of cauliflower.
[0018] We measured the respiration rate of cauliflower by the method described above, and
determined that the respiration rate of cauliflower was 48 milligrams of carbon dioxide
per kilogram per hour.
[0019] We measured the permeability of the packaging film by the method described above,
and determined that the permeability to oxygen of the packaging material, namely 1.5
mil-thick, low-density polyethylene film including 12% by weight of ethylene vinyl
acetate, was 550 cubic centimeters of oxygen per 100 square inches for 24 hours at
72°F., and a relative humidity of less than 50%.
[0020] We measured the area of each package for the cauliflower and determined the area
to be 776 square inches or 7.76 times 100 square inches.
[0021] We then computed the weight of cauliflower to be enclosed in each package from this
formula: W (weight to pack) equals AP (package area times package permeability) divided
by G (permeant factor) with A equal to 7.76 (100 square inches), P equal to 550 (cc's
of CO₂ per 100 square inches per 24 hours at 72°F., and less than 50% relative humidity,
and AP equal to 1,268. For the four atmosphere quotient values of 21, 27, 33 and 38,
we computed the permeant factor and the weight of cauliflower per package as shown
in this table:

[0022] After storing each of these sample packages (a), (b), (c) and (d) at 45°F., for 10
days, we evaluated each package for the percentage of marketable cauliflower in each
package, and obtained the data shown in this table:

[0023] Based on the results shown in this table, we concluded that the oxygen atmosphere
quotient range of 27 to 33 appeared most likely to optimize marketability of the cauliflower.
By continuing our testing as set forth in this example, we determined that the optimum
atmosphere quotient range for O₂ is 29 to 31 for cauliflower florets initially packaged
with 800 milliliters of air in the void space per pound.
EXAMPLE 2
[0024] Using the data obtained in Example 1, we computed the optimum packaging for cauliflower
packages required to contain three pounds of cauliflower using the oxygen atmosphere
quotient range of 29 to 31 determined in Example 1 above. We adjusted the size of
the package to maintain the oxygen atmosphere quotient within the range of 29 to 31.
[0025] For cauliflower-containing packages having an oxygen permeability of 550, as determined
in accordance with Example 1; an area of 7.76 times 100 square inches, as determined
in Example 1; and a package weight of three pounds, the permeant factor (G) is 1423
(4268/3).
[0026] To maintain the atmosphere quotient in the range of 29 to 31, and to maintain permeant
factor at 1423, the respiration rate range had to be in the range 47 to 50 as computed
by the formula R equals G divided by AQ, where R is 50 or 47, G is 1423, and AQ is
29 or 31.
[0027] Where the initial respiration rate fell outside the 47-50 range, we had to adjust
the length of the packaging by adjusting the placement of the heat seal on the package
to maintain the desired permeant factor. For example, to attain an oxygen atmosphere
quotient of 30 for cauliflower having a respiration rate of about 48 miligrams per
kiligram-hour, with a packaged cauliflower weight of 3 pounds, package film oxygen
permeability of 550, and a package width of 13 inches, the heat seal was made across
the width of the package to produce a package length of about 30.2 inches. For a respiration
rate of 40, the heat seal would have to be placed to produce a package length of 25.2
inches. For a respiration rate of 60, the heat seal would have to be placed to produce
a package length of 37.8 inches.
[0028] For the package of cauliflower weighing 3 pounds, with cauliflower respiration rate
of 48, where the package film oxygen permeability was 550, and the package width was
13 inches, we multiplied respiration rate by atmosphere quotient to determine permeant
factor, then multiplied permeant factor by the weight of the perishable, and divided
the product by the permeability (550) to determine the package area. We then determined
package length from the formula: package film area (A) equals the number two (because
this package was two-sided) multiplied by the length (1) and by the width (w) of the
package, and divided by the number 100, or A = (2)(1)(w)/(100). In this case, the
area was 785 square inches, and the width was 13 inches. Therefore, the length, determined
arithmetically, was 30.2 inches.
1. A method for packaging respiring perishable comprising:
(1) determing the respiration rate (R) of a respiring perishable;
(2) preparing a plurality of packages containing the respiring perishable, each package
having a different permeant factor (G), where the permeant factor (G) is equal to:
the area (A) of packaging material required to enclose a given weight of the respiring
perishable in a modified or unmodified atmosphere, multipied by the permeability (P)
of the packaging material to one of the gases of respiration, and divided by the weight
(W) of the perishable to be enclosed in the packaging material;
(3) for each of the packages prepared in step (2), determining a value called atmosphere
quotient (AQ) in accordance with the following formula: atmosphere quotient (AQ) equals
permeant factor (G), from step (2) above, divided by the respiration rate (R) of the
perishable from step (1) above;
(4) subjecting each of the packages containing the respiring perishable to known temperatures
and pressures over a known period of time, and correlating the subjective and objective
indicia of quality, appearance and marketability of the respiring perishable from
each of the packages to the atmosphere quotient values determined in step (3) above;
and
(5) packaging the respiring perishable in packaging material having values of the
components (A), (P) and (W) of permeant factor (G) to achieve and maintain the optimum
value or range of values for atmosphere quotient indicated in step (4) above.
2. A method according to claim 1 further comprising the step of varying the values
of the components (A), (P), and/or (W), to the optimum atmosphere quotient value or
values without changing said atmosphere quotient value or values.
3. A method according to claim 1 or 2 further comprising the step of determining the
oxygen and carbon dioxide atmosphere quotients independently of one another.