Cubic and Quadratic Polynomial on Julia Set With Trigonometric Function

Titaley, Jullia; Manurung, Tohap; Titaley, Henriette D

doi:10.35799/jis.18.2.2018.21555

Cited by 2 publications

(3 citation statements)

References 5 publications

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“…Both 1-and 4-nitropyrene (1-and 4-NPYR, respectively) have been detected in laboratory settings as the major products of PYR in the gas-and particle-phases, respectively. The formations of disubstituted PYR (1,1,and 1,) in the gas-phase also reflects this.…”

Section: Alie-based Prediction Of Pah Reactivitymentioning

confidence: 78%

Evaluating Computational and Structural Approaches to Predict Transformation Products of Polycyclic Aromatic Hydrocarbons

Titaley

Walden

Dorn

et al. 2018

Environ. Sci. Technol.

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Polycyclic aromatic hydrocarbons (PAHs) undergo transformation reactions with atmospheric photochemical oxidants, such as hydroxyl radicals (OH•), nitrogen oxides (NOx), and ozone (O 3 ). The most common PAH-transformation products (PAH-TPs) are nitrated-, oxygenated-, and hydroxylated-PAHs (NPAHs, OPAHs, and OHPAHs, respectively), some of which are known to pose potential human health concerns. We sampled four theoretical approaches for predicting the location of reactive sites on PAHs (i.e., the carbon where atmospheric oxidants attack), and hence the chemoselectivity of the PAHs. All computed results are based on Density Functional Theory (B3LYP/6-31G(d) optimized structures and energies). The four approaches are: 1) Clar's prediction of aromatic resonance structures, 2) thermodynamic stability of all OHPAH adduct intermediates, 3) computed atomic charges (Natural Bond order, ChelpG, and Mulliken) at each carbon on the PAH, and 4) average local ionization energy (ALIE) at atom or bond sites. To evaluate the accuracy of these approaches, the predicted PAH-TPs were compared to published laboratory observations of major NPAH, OPAH, and OHPAH products in both gas-and particlephases. We found that the Clar's resonance structures were able to predict the least stable rings on the PAHs but did not offer insights in terms of which individual carbon is most reactive. The OHPAH adduct thermodynamics and the ALIE approaches were the most accurate when *

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Section: Alie-based Prediction Of Pah Reactivitymentioning

confidence: 78%

Evaluating Computational and Structural Approaches to Predict Transformation Products of Polycyclic Aromatic Hydrocarbons

Titaley

Walden

Dorn

et al. 2018

Environ. Sci. Technol.

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“…Kodri dan Titaley (2017), melakukan penelitian tentang menggabungkan variasi motif batik khas minahasa dengan variasi motif baru yang berbasis Julia Set dan hasilnya menunjukan bahwa dengan memilih bilangan kompleks = + dengan nilai −2 ≤ ≤ 2 dan −2 ≤ ≤ 2 dapat menghasilkan motif Julia set yang menarik. Penelitian selanjutnya tentang mencari kelas baru Julia set dengan fungsi polinomial kubik dan kuadratik dengan fungsi sinus dan kosinus secara teoritis dan hasil akhirnya adalah menemukan inovatif baru dari Julia Set dengan menggunakan fungsi trigonometri [8].…”

Section: Pendahuluanunclassified

“…( ) = + Dimana , ∈ ℂ dan adalah konstanta. Barisan bilangan kompleks , ( ), ( ), … , ( ), yang terbentuk disebut orbit [8].…”

Section: Julia Setunclassified

Penerapan Geometri Fraktal Dalam Membuat Variasi Motif Batik Nusantara Berbasis Julia Set

Solar¹,

Titaley²,

Rindengan³

2021

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Julia Set adalah salah satu jenis fraktal yang berkaitan dengan bilangan kompleks dan dibangkitkan dari fungsi teriterasi . Tujuan penelitian ini adalah menerapkan geometri fraktal berbasis Julia Set dengan nilai dan dengan polinomial kubik untuk membuat variasi motif batik nusantara yang baru. Penelitian ini menghasilkan motif Julia Set yang dibentuk dengan menentukan nilai c tertentu dan digabungkan dengan motif batik nusantara sehingga menghasilkan motif batik nusantara berbasis Julia set.

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Cubic and Quadratic Polynomial on Julia Set With Trigonometric Function

Cited by 2 publications

References 5 publications

Evaluating Computational and Structural Approaches to Predict Transformation Products of Polycyclic Aromatic Hydrocarbons

Evaluating Computational and Structural Approaches to Predict Transformation Products of Polycyclic Aromatic Hydrocarbons

Penerapan Geometri Fraktal Dalam Membuat Variasi Motif Batik Nusantara Berbasis Julia Set

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