### Abstract

This paper uses a mathematical model of fluorescent biological particles composed of bacteria and/or proteins (mostly as in Hill et al., 2013 [23]) to investigate the size-dependence of the total fluorescence emitted in all directions. The model applies to particles which have negligible reabsorption of fluorescence within the particle. The specific particles modeled here are composed of ovalbumin and of a generic Bacillus. The particles need not be spherical, and in some cases need not be homogeneous. However, the results calculated in this paper are for spherical homogeneous particles. Light absorbing and fluorescing molecules included in the model are amino acids, nucleic acids, and several coenzymes. Here the excitation wavelength is 266nm. The emission range, 300 to 370nm, encompasses the fluorescence of tryptophan. The fluorescence cross section (C
_{F}
) is calculated and compared with one set of published measured values. We investigate power law (Ad
^{y}
) approximations to C
_{F}
, where d is diameter, and A and y are parameters adjusted to fit the data, and examine how y varies with d and composition, including the fraction as water. The particle[U+05F3]s fluorescence efficiency (Q
_{F}
=C
_{F}
/geometric-cross-section) can be written for homogeneous particles as Q
_{abs}
R
_{F}
, where Q
_{abs}
is the absorption efficiency, and R
_{F}
, the fraction of the absorbed light emitted as fluorescence, is independent of size and shape. When Q
_{F}
is plotted vs. m
_{i}
d or m
_{i}
(m
_{r}
-1)d, where m=m
_{r}
+im
_{i}
is the complex refractive index, the plots for different fractions of water in the particle tend to overlap.

Original language | English (US) |
---|---|

Pages (from-to) | 54-70 |

Number of pages | 17 |

Journal | Journal of Quantitative Spectroscopy and Radiative Transfer |

Volume | 157 |

DOIs | |

State | Published - May 1 2015 |

Externally published | Yes |

### Fingerprint

### Keywords

- Aerosol characterization
- Bioaerosols
- Fluorescence
- Light scattering

### ASJC Scopus subject areas

- Radiation
- Atomic and Molecular Physics, and Optics
- Spectroscopy

### Cite this

*Journal of Quantitative Spectroscopy and Radiative Transfer*,

*157*, 54-70. https://doi.org/10.1016/j.jqsrt.2015.01.011

**Size-dependent fluorescence of bioaerosols : Mathematical model using fluorescing and absorbing molecules in bacteria.** / Hill, Steven C.; Williamson, Chatt C.; Doughty, David C.; Pan, Yong Le; Santarpia, Joshua L; Hill, Hanna H.

Research output: Contribution to journal › Article

*Journal of Quantitative Spectroscopy and Radiative Transfer*, vol. 157, pp. 54-70. https://doi.org/10.1016/j.jqsrt.2015.01.011

}

TY - JOUR

T1 - Size-dependent fluorescence of bioaerosols

T2 - Mathematical model using fluorescing and absorbing molecules in bacteria

AU - Hill, Steven C.

AU - Williamson, Chatt C.

AU - Doughty, David C.

AU - Pan, Yong Le

AU - Santarpia, Joshua L

AU - Hill, Hanna H.

PY - 2015/5/1

Y1 - 2015/5/1

N2 - This paper uses a mathematical model of fluorescent biological particles composed of bacteria and/or proteins (mostly as in Hill et al., 2013 [23]) to investigate the size-dependence of the total fluorescence emitted in all directions. The model applies to particles which have negligible reabsorption of fluorescence within the particle. The specific particles modeled here are composed of ovalbumin and of a generic Bacillus. The particles need not be spherical, and in some cases need not be homogeneous. However, the results calculated in this paper are for spherical homogeneous particles. Light absorbing and fluorescing molecules included in the model are amino acids, nucleic acids, and several coenzymes. Here the excitation wavelength is 266nm. The emission range, 300 to 370nm, encompasses the fluorescence of tryptophan. The fluorescence cross section (C F ) is calculated and compared with one set of published measured values. We investigate power law (Ad y ) approximations to C F , where d is diameter, and A and y are parameters adjusted to fit the data, and examine how y varies with d and composition, including the fraction as water. The particle[U+05F3]s fluorescence efficiency (Q F =C F /geometric-cross-section) can be written for homogeneous particles as Q abs R F , where Q abs is the absorption efficiency, and R F , the fraction of the absorbed light emitted as fluorescence, is independent of size and shape. When Q F is plotted vs. m i d or m i (m r -1)d, where m=m r +im i is the complex refractive index, the plots for different fractions of water in the particle tend to overlap.

AB - This paper uses a mathematical model of fluorescent biological particles composed of bacteria and/or proteins (mostly as in Hill et al., 2013 [23]) to investigate the size-dependence of the total fluorescence emitted in all directions. The model applies to particles which have negligible reabsorption of fluorescence within the particle. The specific particles modeled here are composed of ovalbumin and of a generic Bacillus. The particles need not be spherical, and in some cases need not be homogeneous. However, the results calculated in this paper are for spherical homogeneous particles. Light absorbing and fluorescing molecules included in the model are amino acids, nucleic acids, and several coenzymes. Here the excitation wavelength is 266nm. The emission range, 300 to 370nm, encompasses the fluorescence of tryptophan. The fluorescence cross section (C F ) is calculated and compared with one set of published measured values. We investigate power law (Ad y ) approximations to C F , where d is diameter, and A and y are parameters adjusted to fit the data, and examine how y varies with d and composition, including the fraction as water. The particle[U+05F3]s fluorescence efficiency (Q F =C F /geometric-cross-section) can be written for homogeneous particles as Q abs R F , where Q abs is the absorption efficiency, and R F , the fraction of the absorbed light emitted as fluorescence, is independent of size and shape. When Q F is plotted vs. m i d or m i (m r -1)d, where m=m r +im i is the complex refractive index, the plots for different fractions of water in the particle tend to overlap.

KW - Aerosol characterization

KW - Bioaerosols

KW - Fluorescence

KW - Light scattering

UR - http://www.scopus.com/inward/record.url?scp=84923364465&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84923364465&partnerID=8YFLogxK

U2 - 10.1016/j.jqsrt.2015.01.011

DO - 10.1016/j.jqsrt.2015.01.011

M3 - Article

VL - 157

SP - 54

EP - 70

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

SN - 0022-4073

ER -