Reciprocity revisited.

Reciprocity revisited.

  1. gainer

    gainer Subscriber

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    gainer submitted a new resource:

    Reciprocity revisited. - Reciprocity revisited.

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    Last edited by a moderator: Feb 6, 2016
  2. Sean

    Sean Admin Staff Member Admin

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    comments from the previous article system:

    By pnance - 05:48 PM, 05-25-2006 Rating: None
    Is there any reason this would not be applicable to paper? The only real difference is that paper is already in the seconds range.

    By JeffD - 04:17 PM, 07-29-2006 Rating: None
    This is pretty interesting. I wish I had an equation as convenient that would help me determine development time, so my contrast would be *normal*, when processing film that has been exposed to account for reciprocity failure.

    By jstraw - 10:00 PM, 09-15-2006 Rating: None
    I love your formulas but I find I struggle to make the clear to myself. I can't be on the right track with this one.
    Tri-X at 60 seconds:
    .17(Ff) * 60(seconds) ^ 1.62 = 43.04 + 60(seconds) = 103.4(seconds)
    My 3 charts say 480 seconds, 600 seconds and 832 seconds (this big discrepency is why I want a new handle on this problem).
    Where am I losing my grip on your formula?
     
  3. jstraw

    jstraw Member

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    Now that this is back, I'd love to pick up this conversation again.
     
  4. MikeK

    MikeK Member

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    Sandy:

    By chance would you happen to have the coeficients for other films? I remember when you first published your findings a number of us pubished tables which made it easier to calculate the new exposure times. I published a set of tables and a chart at http://home.pacbell.net/mkirwan/reciprocity_failure.htm

    Really would like to expand to include XP-2 and Pan-F

    Thanks

    Mike
     
  5. KenM

    KenM Member

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    Exponentiation has higher precedence than multiplication. Using substitution, the complete formula for calculating the exposure time is as follows:

    T = Tm + Tc
    Tc = a * Tm^1.62
    T = Tm + ( a * Tm^1.62 )

    using your example above, we get the following:

    T = 60 + ( 0.17 * 60^1.62 )
    T = 60 + 0.17 * 759.64
    T = 60 + 129.14
    T = 189.14

    which is more in line with the numbers you were expecting, although certainly less than the published numbers.

    Here are the calculations for the four films, using the factors published above:

    TXP TMX HP5+ Delta
    1 1.17 1.07 1.11 1.05
    2 2.52 2.22 2.34 2.15
    3 4.01 3.41 3.65 3.30
    4 5.61 4.66 5.04 4.47
    5 7.31 5.95 6.49 5.68
    6 9.10 7.28 8.00 6.91
    7 10.98 8.64 9.57 8.17
    8 12.94 10.03 11.19 9.45
    9 14.97 11.46 12.87 10.76
    10 17.09 12.92 14.59 12.08
    60 189.14 113.17 143.56 97.98

    The formatting is a bit hard to read, but if you import the data into a spreadsheet, it'll be readable.
     
  6. Stuggi

    Stuggi Member

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    I just made an excel sheet with calculations from 1 second up to ~72 hours at one stop intervals. Tri-X would have to be exposed for approx. 1100 days for a metered 72 hour exposure. Anyone interested in the sheet? :smile:
     
  7. Stuggi

    Stuggi Member

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